International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 9 Issue 1, January 2020 | Rating: 6.8 / 10


A Mathematics Letter Lecture Note on Some Variety of Algebraic Γ-Structures

Abul Basar


Abstract: Algebraic -structures represent a natural generalization of classical algebraic struc- tures. Results studied in semigroups are particular cases of those studied in -semigroups as every semigroup is a -semigroups but not vice-versa. This research paper is based on the introduction and initiation of rectangular -semigroups, quasi-rectangular -semigroups, total -semigroups, viable -semigroups and idempotent -semigroups. Among lots of results, we prove that a rect- angular -semigroup is the direct product of a left singular and a right singular -semigroups. Moreover, this product is unique up to isomorphism.


Keywords: semigroup, rectangular bands, rectangular semigroup, total semigroup, viable semigroup, quasi-rectangular -semigroup, singular semigroup, ideal


Edition: Volume 9 Issue 1, January 2020,


Pages: 113 - 117


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