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Tensor Product of Hypervector Spaces

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2017

Key Words:

Author NameUniversity of Author

AMS Codes:

Abstract (2. Language): 
We introduce and study tensor product of hypervector spaces (or hyperspaces) based on Tallini hypervector spaces. Here we introduce the (resp. multivalued) middle linear maps of hy-perspaces and construct the categories of linear maps and multivalued linear maps of hyperspaces. It is shown the tensor product of two hypespaces, as an initial object in this category, exists. Also, notion of a quasi-free object in category of hyperspaces is introduced and it is proved that in this category a quasi-free object up to maximum is unique.
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REFERENCES

References: 

[1] R Ameri. On Categories of Hypergroups and Hypermodules. Journal of Discrete Mathematical Sciences and Cryptography, 6(2-3):121-132, 2003.
[2] R Ameri and O R Dehghan. On Dimension of Hypervector Spaces. European Journal ofPure and Applied Mathematics, 1(2):32-50, 2008.
[3] R Ameri, K Ghadimi and R A Borzooei. Categories ofHypervector Spaces, submitted.
[4] R Ameri and M Norouzi. Prime and Primary Hyperideals in Krasner . European Journal ofCombinatorics, 34:379-390, 2013.
REFERENCES
715
[5] R Ameri and M Norouzi. New Fundamental Relation of Hyperrings. European Journal
ofCombinatorics, 34:884-891, 2013.
[6] R Ameri and M Norouzi. On Multiplication (m, n)-Hypermodules. European Journal of Combinatorics, 44:153-171, 2015.
[7] R Ameri, M Norouzi and V Leoreanu-Fotea. On Prime and Primary Subhypermodules of (m, n)-Hypermodules. European Journal of Combinatorics, 44:175-190, 2015.
[8] R Ameri and I G Rosenberg. Congruences of Multialgebras. Multivalued Logic and
Soft Computing, 15(5-6):525-536, 2009.
[9] R Ameri and M M Zahedi. Hyperalgebraic Systems. Italian Journal of Pure and
Applied Mathematics, 6:21-32, 1999.
[10] P Bonansinga. Sugli Ipergruppi Quasicanonici. Atti Soc. Peloritana Sci. Fis. Mat.
Natur., 27:9-17, 1981.
[11] P Bonansinga and P Corsini. Sugli Omomorfismi di Semi-ipergruppi e di Ipergruppi.
Boll. Un. Mat. Italy, 1-B:717-727, 1982.
[12] S Comer. Extension of Polygroups by Polygroups and Their Representations Using Color Schemes. Lecture notes in Mathematics, No. 1004, Universal Algebra and Lat¬tice Theory, 91-103, 1982.
[13] S Comer. Polygroups Derived from Cogroups. J. Algebra, 89(2):397-405, 1984.
[14] P Corsini. Prolegomena ofHypergroup Theory. Second Edition, Aviani Editor, 1993.
[15] P Corsini and V Leoreanu-Fotea. Applications ofHyperstructure Theory. Kluwer Aca¬demic Publishers, Dordrecht, Hardbound, 2003.
[16] B Davvaz. Polygroup Theory and Related Systems. World Scientific, 2013.
[17] B Davvaz and V Leoreanu-Fotea. Hyperring Theory and Applications. International Academic Press, USA, 2007.
[18] T W Hungerford. Algebra, Graduate Texts in Mathematics. 73. Springer-Verlag, New
York-Berlin, 1980.
[19] F Marty. Sur une gnralisation de la notion de groupe. 8th Congrs des Mathmaticiens Scandinaves, pages 45-49, Stockholm, 1934.
[20] M S Tallini. Hypervector spaces. 4th AHA, World Scientific, pages 167-174, Xanthi,
1990. Greece.
[21] M S Tallini. Weak hypervector spaces and norms in such spaces. Proceedings of the Fifth International Congress on Algebraic Hyperstructures and Applications, Hadronic Press, pages 199-206, Jasi, 1994. Rumania.
REFERENCES 716
[22] M S Tallini. Dimensions in Multivalued Algebraic Structures. Italian Journal ofPure and Applied Mathematics, 1:51-64, 1997.
[23] T Vougiouklis. Hyperstructures and Their Representations. Hadronic Press, Inc., 115,
Palm Harber, USA, 1994.

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