Doctoral Thesis

     Ch. G. Massouros:

Hypergroups and their applications,

National Technical University of Athens (1988)

 

  Publications in refereed journals

   Ch. G. Massouros:

Methods of constructing hyperfields,

International Journal of Mathematics and Mathematical Sciences, Vol. 8, No. 4 (1985) pp. 725-728.

   Ch. G. Massouros:

On the theory of hyperrings and hyperfields,

ΑΛΓΕБΡΑ и ΛΟΓИΚΑ, Ακαδημία Επιστημών ΕΣΣΔ [Algebra and Logic, Springer]  Vol. 24, No. 6 (1985) pp. 728-742.

   Ch. G. Massouros:

Free and Cyclic Hypermodules

Annali di Matematica pura ed applicata (IV), Vol. CL (1988) pp. 153-166.

   Ch. G. Massouros:

Hypergroups and convexity,

Rivista di Mathematica pura ed applicata,  No. 4 (1989) pp. 7 - 26.

   J. Mittas and Ch. G. Massouros:

Hypergroups defined from a linear space,

Bulletin of the Greek Mathematical Society, Vol. 30 (1989) pp. 63 - 78.

   Ch. G. Massouros:

On the semi-sub-hypergroups of a hypergroup,

International Journal of Mathematics and Mathematical Sciences, Vol. 14, No. 2 (1991) pp. 293 - 304.

   Ch. G. Massouros:

Constructions of hyperfields,

Mathematica Balcanica, Vol. 5, No. 3 (1991) pp. 250 - 257.

   Ch. G. Massouros:

A class of hyperfields and a problem in the theory of fields,

Mathematica Montisnigri, Vol. 1 (1993) pp. 73 - 84.

   Ch. G. Massouros:

On the Hypercompositional Structures,

Fuzzy Systems & A.I. - Reports and Letters, Academia Romana, Vol. 3, No. 3 (1994) pp. 15-27.

   G. G. Massouros, Ch. G. Massouros and J. Mittas:

Fortified join hypergroups,

Annales Mathematiques Blaise Pascal, Vol. 3, No. 2 (1996) pp. 155-169.

   Ch. G. Massouros:

Canonical and Join Hypergroups,

Analele Stiintifice Ale Universitatii “Al.I.Cuza”, Tom. XLII Matematica, fasc. 1 (1996) pp. 175-186.

   Ch. G. Massouros:

Hypergroups and Geometry,

Mem. Academia Romana, Mathematics, special issue, Seria IV, Tom. XIX, (1996) pp. 185-191 and Scripta Scientiarum Mathematicarum, Tom. I (1997) pp.143-152.

   G. G. Massouros and Ch. G. Massouros:

Homomorphic Relations on Hyperringoids and Join Hyperrings,

Ratio Mathematica, No. 13 (1999) pp. 61-70.

   Ch. G. Massouros:

Getting a field from differences of its multiplicative subgroups,

Bulletin of the Polytechnic Institute of Iasi, section Mathematics, Theoretical Mechanics, Physics, Tom. XLVI (L) fasc. 1-2 (2000) pp. 1-17.

   J. Jantosciak and Ch. G. Massouros:

Strong Identities and Fortification in Transposition Hypergroups,

Journal of Discrete Mathematical Sciences and Cryptography, Vol. 6, No. 2-3 (2003) pp. 169-193.

   Ch. G. Massouros and G. G. Massouros:

Transposition Polysymmetrical Hypergroups with Strong Identity,

Journal of Basic Science, Vol. 4, No. 1 (2008) pp. 85-93.

   Ch. Tsitouras and Ch. G. Massouros:

On enumeration of hypergroups of order 3,

Computers and Mathematics with Applications, Vol. 59 (2010) pp. 519-523.

   Ch. G. Massouros and Ch. Tsitouras:

Enumeration of hypercompositional structures defined by binary relations,

Italian Journal of Pure and Applied Mathematics, No. 28 (2011) pp. 43-54.

   H. C. Leligou, Ch. G. Massouros, E. Tsampasis, Th. Zahariadis, D. Bargiotas, K. Papadopoulos and S. Voliotis:

Reprogramming wireless sensor nodes,

International Journal of Computer Trends and Technology, May - June Issue 2011, pp. 1-8.

   Ch. G. Massouros and G. G. Massouros:

The Transposition Axiom in Hypercompositional Structures,

Ratio Mathematica, No. 21 (2011) pp. 75-90.

   Ch. G. Massouros and A. Dramalidis:

Transposition Hv-groups,

Ars Combinatoria, Vol. 106 (2012) pp 143-160.

   Ch. Tsitouras and Ch. G. Massouros:

Enumeration of Rosenberg type Hypercompositional structures defined by binary relations,

European Journal of Combinatorics, Vol. 33, No 1 (2012) pp. 1777–1786.

   Ch. G. Massouros and G. G. Massouros:

On certain fundamental properties of hypergroups and fuzzy hypergroups – Mimic fuzzy hypergroups,

International Journal of Risk Theory, Vol 2, No 2 (2012) pp. 71-82.

   Ch. G. Massouros and G. G. Massouros:

On the algebraic structure of transposition hypergroups with idempotent identity,

Iranian Journal of Mathematical Sciences and Informatics, Vol. 8, No. 2 (2013) pp. 57-74.

   Ch. G. Massouros:

Some properties of certain Subhypergroups,

Ratio Mathematica, No. 25 (2013) pp. 67-76.

   Ch. G. Massouros and G. G. Massouros:

Transposition hypergroups with idempotent identity,

International Journal of Algebraic Hyperstructures and its Applications, Vol. 1, No. 1 (2014) pp. 15-27.

   Ch. G. Massouros:

On connections between vector spaces and hypercompositional structures,

Italian Journal of Pure and Applied Mathematics,  N. 34 (2015)  pp. 133-150.

   G. G. Massouros and Ch. G. Massouros:

Hypercompositional Algebra, Computer Science and Geometry

Mathematics, 2020, 8, 1338; doi:10.3390/math8081338.

   E. Vossos, S. Vossos and Ch. G. Massouros:

Closed linear transformations of complex space-time endowed with Euclidean or Lorentz metric

Italian Journal of Pure and Applied Mathematics, N. 44 (2020) pp. 1033-1053.

   Ch. G. Massouros and G. G. Massouros:

 An Overview of the Foundations of the Hypergroup Theory

Mathematics 2021, 9, 1014; doi.org/10.3390/math9091014.

   S. Vossos, E. Vossos and Ch. G. Massouros:

The Relation between General Relativity’s Metrics and Special Relativity’s Gravitational Scalar Generalized Potentials and Case Studies on the Schwarzschild Metric, Teleparallel Gravity, and Newtonian Potential

Particles 2021, 4, 536–576; doi.org/10.3390/particles4040039

   Ch. G. Massouros and N. Yaqoob:

On the Theory of Left/Right Almost Groups and Hypergroups with their Relevant Enumerations

Mathematics 2021, 9, 1828; doi.org/10.3390/math9151828

   N. Assimakis, M. Adam and Ch. G. Massouros

Distributed Periodic Steady State Kalman Filter

International Journal of Circuits, Systems and Signal Processing, Vol. 16 (2022) pp. 668-674.

   G. G. Massouros and Ch. G. Massouros:

State Machines and Hypergroups

Mathematics, 2022, 10(14), 2427; doi.org/10.3390/math10142427

   S. Vossos, E. Vossos and Ch. G. Massouros:

Closed Isometric Linear Transformations of Complex Spacetime endowed with Euclidean, or Lorentz, or generally Isotropic Metric

Ratio Mathematica, 2022, 42, 305-339, dx.doi.org/10.23755/rm.v42i0.810

   V. Kallimogiannis and Ch. G. Massouros:

Predictions on the impact of the budget cap on Formula 1 teams' performance

Ratio Mathematica, 2023, 47, 445-468, dx.doi.org/10.23755/rm.v47i0.1179

   Ch. G. Massouros and G. G. Massouros:

On the Borderline of Fields and Hyperfields

Mathematics, 2023, 11, 1289; doi.org/10.3390/math11061289

   Ch. G. Massouros and G. G. Massouros:

On the Borderline of Fields and Hyperfields Part II - Enumeration and classification of the hyperfields of order 7

arXiv:2412.11331 [math.RA] ; doi.org/10.48550/arXiv.2412.11331

 

 

  Publications in Conference Proceedings

   Ch. G. Massouros:

Quasicanonical hypergroups,

Proceedings of the 4th Fourth International Congress on Algebraic Hyperstructures and Applications, Xanthi 1990, World Scientific 1991, pp. 129-136.

   Ch. G. Massouros:

Νormal homomorphisms of fortified join hypergroups,

Proceedings of the 5th International Congress on Algebraic Hyperstructures and Applications, Iasi 1993, Hadronic Press 1994, pp. 133-142.

   Ch. G. Massouros:

Application of the Hypercompositional Structures into Geometry,

Proceedings of the 26th Annual Iranian Mathematics Conference, Kerman, Iran, 1995, Vol. 2, pp. 231-235.

   Ch. G. Massouros:  

On the result of the difference of a subgroup of the multiplicative group of a field from itself,

Proceedings of the 6th International Congress on Algebraic Ηyperstructures and Applications,  Prague 1996, Demokritus Univ. of Thrace Press 1997, pp. 89-101.

   Ch. G. Massouros:

Looking at certain Hypergroups and their properties,

Proceedings of the European Conference on Intelligent Technologies 2000, Iasi 2000, Advances in Generalized Structures Approximate Reasoning and Applications, published by the cooperation of University of Teramo, Romanian Society for Fuzzy Systems and BMFSA Japan, 2001, pp. 31 – 43.

   G. G. Massouros, F. A. Zafiropoulos and Ch. G. Massouros:

Transposition Polysymmetrical hypergroups,

Proceedings of the 8th International Congress on Algebraic Ηyperstructures and Applications, Samothraki 2002, Spanidis Press 2003, pp. 191-202.

   Ch. Tsitouras, Ch. Massouros and M. Lambiris,

A Mathematica package enumerating Hypergroups of order 3,

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2005, Wiley-VCH 2005, pp. 561-564.

   Ch. G. Massouros and G. G. Massouros:  

Elements and Results on Polysymmetrical Hypergroups,

Proceedings of the European Conference on Intelligent Technologies 2006, Iasi 2006, Advances in Intelligent Systems and Technologies, Advances in  Mathematics of Uncertainty, pp. 19-29.

   Ch. G. Massouros and G. G. Massouros:

Operators and Hyperoperators acting on Hypergroups,

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2008 Kos, American Institute of Physics (AIP) Conference Proceedings, pp. 380-383.

   Ch. G. Massouros and G. G. Massouros:

On Join Hyperrings,

Proceedings of the 10th International Congress on Algebraic Ηyperstructures and Applications,  Brno, Czech Republic 2009, pp. 203-215.

   Ch. G. Massouros and J. Mittas:

On the theory of generalized M-polysymmetric hypergroups,

Proceedings of the 10th International Congress on Algebraic Ηyperstructures and Applications,  Brno, Czech Republic 2009, pp. 217-228.

   Ch. G. Massouros and G. G. Massouros:

Hypergroups Associated with Graphs and Automata,

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2009 Crete, American Institute of Physics (AIP) Conference Proceedings, pp. 164-167.

   Ch. G. Massouros, Ch. Tsitouras and S. Voliotis:

Square Roots of Total Boolean Matrices - Enumeration issues,

Proceedings of the 16th International Conference on Systems, Signals and Image Processing, 2009, pp 1-4.

   Ch. G. Massouros and G. G. Massouros:

Identities in Multivalued Algebraic Structures,

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2010 Rhodes, American Institute of Physics (AIP) Conference Proceedings,  pp. 2065-2068.

    Ch. G. Massouros:

A field Theory Problem relating to Questions in Hyperfield Theory,

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2011 Halkidiki, American Institute of Physics (AIP) Conference Proceedings,  1389, pp. 1852-1855.

   Ch. G. Massouros and G. G. Massouros:

On 2-element Fuzzy and Mimic Fuzzy Hypergroups,

Numerical Analysis and Applied Mathematics, ICNAAM 2012, AIP Conference Proceedings, 1479, pp. 2213-2216.

   Ch. G. Massouros and G. G. Massouros:

On Subhypergroups of Fortified Transposition Hypergroups,

Numerical Analysis and Applied Mathematics, ICNAAM 2013, AIP Conference Proceedings, 1558, pp. 2055-2058.

   Ch. G. Massouros:

Isomorphism Theorems in Fortified Transposition Hypergroups,

Numerical Analysis and Applied Mathematics, ICNAAM 2013, AIP Conference Proceedings, 1558, pp. 2059-2062.

   Ch. G. Massouros:

On the enumeration of rigid hypercompositional structures,

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2014, AIP Conference Proceedings, 1648, pp. 740005-1–740005-6.

   Ch. G. Massouros:

Separation and Relevant Properties in Hypergroups,

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2015, AIP Conf. Proc. 1738, 480051-1–480051-4; doi: 10.1063/1.4952287

   Ch. G. Massouros:

On path hypercompositions in graphs and automata,

MATEC Web of Conferences 41, 05003 (2016)  doi: 10.1051/matecconf/20164105003

   Ch. G. Massouros and G. G. Massouros:

On Open and Closed Hypercompositions,

1st Symposium on Hypercompositional Algebra - new Developments and Applications, 1st HAnDA,  International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2017, AIP Conf. Proc. 1778, 340002-1–340002-4; doi: 10.1063/1.5043945

   N. Assimakis, M. Adam, Ch. G. Massouros and M. Etairidis:

Enumeration of the Roots of Boolean Matrices,

1st Symposium on Hypercompositional Algebra - new Developments and Applications, 1st HAnDA, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2017, AIP Conf. Proc. 1778, 340008-1–340008-5; doi: 10.1063/1.5043951

   S. Vossos, E. Vossos and Ch. G. Massouros:

New Central Scalar Gravitational Potential according to Special Relativity and Newtonian Physics, explains the Precession of Mercury’s Perihelion, the Gravitational Red Shift and the Rotation Curves in Galaxies, eliminating Dark Matter,

Journal of Physics: Conference Series 1391 (2019) 012095 doi:10.1088/1742-6596/1391/1/012095

   S. Vossos, E. Vossos and Ch. G. Massouros:

Explanation of Light Deflection, Precession of Mercury’s Perihelion, Gravitational Red Shift and Rotation Curves in Galaxies, by using General Relativity or equivalent Generalized Scalar Gravitational Potential, according to Special Relativity and Newtonian Physics,

Journal of Physics: Conference Series 1730 (2021) 012080 doi:10.1088/1742-6596/1730/1/012080

   S. Vossos, E. Vossos and Ch. G. Massouros:

Can Special Relativity Describe all the Types of Gravity of General Relativity? The Case Study of Spherical Symmetry,

AIP Conf. Proc. 2872, 120024 (2023) doi:10.1063/5.0163513

 

 

Books

   Ch. G. Massouros:

Hypercompositional Algebra and Applications,

MDPI, Basel, Switzerland, 2021, ISBN 978-3-0365-2104-6 (Hbk), ISBN 978-3-0365-2103-9 (PDF)

   Χ. Γ. Μασούρος, Χ. Γ. Τσίτουρας:

Γενικά Μαθηματικά,

Εκδ. Τσότρας, 2016, ISBN 978-618-5066-51-2

   Χ. Γ. Μασούρος, Χ. Γ. Τσίτουρας:

Γενικά Μαθηματικά ΙΙ,

Εκδ. Τσότρας, 2021, ISBN 978-618-5495-39-8

   Χ. Γ. Μασούρος, Χ. Γ. Τσίτουρας:

Μαθηματικά Χρηματοπιστωτικής Ανάλυσης,

Εκδ. Τσότρας, 2016, ISBN 978-618-5066-51-2

 

 

  Other Work

   Χ. Γ. Μασούρος:  

Η Ευθεία: Η Αρχαία Θεώρηση και μία νέα Άποψη,

Πρακτικά Επιστημονικού Συνεδρίου με Θέμα “Η Έννοια της Κατασκευής στις Επιστήμες του Ανθρώπου”,  Κρήτη 1994, εκδόσεις Νήσος, σελ. 419-421.

   Χ. Γ. Μασούρος: 

Αλγεβρικές Υπερσυνθετικές Δομές που γεννήθηκαν από τη θεωρία των Γλωσσών και των Αυτομάτων,

Αστρολάβος, Τεύχος 5 (2006) σελ. 70-82.

 

 

Please note: The copyrights to the publications are held by their publishers. The pdf files provided in this web site may be used only for single copies for personal use, as though they were reprints provided by mail. They may not be reposted on other web sites or used for any other purpose without the express permission of the appropriate publishers.