Downloads: 281
Research Paper | Mathematics | India | Volume 9 Issue 1, January 2020
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
How to Cite this Article?
Abul Basar, "A Mathematics Letter Lecture Note on Some Variety of Algebraic Γ-Structures", International Journal of Science and Research (IJSR), https://www.ijsr.net/get_abstract.php?paper_id=ART20203889, Volume 9 Issue 1, January 2020, 113 - 117
How to Share this Article?
Similar Articles with Keyword 'semigroup'
Downloads: 104
Research Paper, Mathematics, Nigeria, Volume 3 Issue 12, December 2014
Pages: 711 - 721Graphical Representation of Conjugacy Classes in the Order ? Preserving Partial One ? One Transformation Semigroup
Mogbonju M. M., Ojo O. A., Ogunleke I.A.
Downloads: 112
Research Paper, Mathematics, Nigeria, Volume 3 Issue 11, November 2014
Pages: 217 - 219The Order of the Set of -Class for Semigroup of Order-Preserving and Order-Decreasing Partial Transformation
Mbah Moses Anayo, Ugbene Ifeanyichukwu Jeff, Bakare Getta Naimat
Similar Articles with Keyword 'ideal'
Downloads: 3
Research Paper, Mathematics, India, Volume 4 Issue 3, March 2015
Pages: 911 - 915On Moderate Fuzzy Analytic Hierarchy Process Pairwise Comparison Model
G. Marimuthu, Dr. G. Ramesh
Downloads: 78
Research Paper, Mathematics, India, Volume 9 Issue 8, August 2020
Pages: 1544 - 1545A Note on Fuzzy Ideals of Ring
Dr. Ranjan Kumar, Dr. Kumar Amitabh