PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2011 | 31 | 1 | 75-99
Tytuł artykułu

A note on hypervector spaces

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The main aim of this paper is to generalize the concept of vector space by the hyperstructure. We generalize some definitions such as hypersubspaces, linear combination, Hamel basis, linearly dependence and linearly independence. A few important results like deletion theorem, extension theorem, dimension theorem have been established in this hypervector space.
Twórcy
autor
  • Department of Mathematics, South Bantra Ramkrishna Institution West Bengal, India
  • Department of Mathematics, Uluberia College West Bengal, India
Bibliografia
  • [1] M. Krasner, A class of hyperrings and hyperfields, Intern. J. Math. and Math. Sci. 6 (2) (1983), 307-312. doi: 10.1155/S0161171283000265
  • [2] F. Marty, Role de la notion d'hypergroupe dans l'étude des groupes non abéliens, Comptes Renclus Acad. Sci. Paris Math. 201 (1935), 636-638.
  • [3] F. Marty, Sur les groupes et hypergroupes attachés à une fraction rationnelle, Ann. Sci. de l'Ecole Norm. Sup. 53 (3) (1936), 82-123.
  • [4] F. Marty, Sur une généralisation de la notion de groupe., in: pages 45-49, '8ème congrès des Mathématiciens Scandinaves', Stockholm 1934.
  • [5] A. Nakassis, Expository and survey article recent results in hyperring and hyperfield theory, J. Math. and Math. Sci. 11 (2) (1988), 209-220. doi: 10.1155/S0161171288000250
  • [6] P. Raja and S.M. Vaezpour, Normed Hypervector spaces, Iranian Journal of Mathematical Sciences and Informatics 2 (2007), 35-44.
  • [7] M.K. Sen, Utpal Dasgupta, Hypersemiring, Bull. Cal. Math. Soc. 100 (2) (2008), 143-156.
  • [8] M.S. Tallini, A-ipermoduli e spazi ipervettoriali, Rivista di Mat. Pura e Applicata, Universita' di Udine 3 (1988), 1-46.
  • [9] M.S. Tallini, Hypervector spaces, Fourth Int. Congress on AHA, Xanthi, Greece (1990), 167-174.
  • [10] M.S. Tallini, Spazi ipervettoriali fortemente distributivi a sinistra, Rend. Mat. Univ. Roma La Sapienza 11 (VII) (1991), 1-16.
  • [11] M.S. Tallini, Matroidal Hypervector spaces, Journal of Geometry 42 (1991), 132-140. doi: 10.1007/BF01231873
  • [12] M.S. Tallini, La categoria degli spazi ipervettoriali, Quaderni Sem. Geom. Comb. Dip. Mat. 'G. Castelnuovo' Univ. Di Roma La Sapienza, 110 (1993), 1-17.
  • [13] M.S. Tallini, Spazi ipervettoriali deboli e norme in tali spazi. Quaderni Sem. Geom. Comb. Dip. Mat. 'G. Castelnuovo', Univ. Di Roma La Sapienza, 111 (1993), 1-14.
  • [14] M.S. Tallini, La categoria degli spazi ipervettoriali, Rivista di Mat. Pura e Applicata, Univ. di Udine, 15 (1994), 97-109.
  • [15] M.S. Tallini, Weak hypervector spaces and norms in such spaces, Proc. Int. Congress Algebraic Hyperstructures and Applications, Iasi, Romania, Luglio 1993, Hadronic Press, Palm Harbor, Florida (U.S.A.) (1994), 109-206.
  • [16] M.S. Tallini, Characterization of Remarkable Hypervector spaces, Proc. of 8th int. Congress on Algebraic Hyperstructures and Applications, Samotraki, Greece, Sept. 1-9 2002, Spanidis Press, Xanthi, Greece, ISBN 960-87499-5-6 (2003), 231-237.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1176
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.