A Mathematics Letter Lecture Note on Some Variety of Algebraic Γ-Structures
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064



Downloads: 278 | Weekly Hits: ⮙2 | Monthly Hits: ⮙27

Research Paper | Mathematics | India | Volume 9 Issue 1, January 2020

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

Abul Basar

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

Share this Article

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/search_index_results_paperid.php?id=ART20203889, Volume 9 Issue 1, January 2020, 113 - 117

Enter Your Registered Email Address





Similar Articles with Keyword 'semigroup'

Downloads: 103 | Weekly Hits: ⮙3 | Monthly Hits: ⮙9

Research Paper, Mathematics, Nigeria, Volume 3 Issue 12, December 2014

Pages: 711 - 721

Graphical Representation of Conjugacy Classes in the Order ? Preserving Partial One ? One Transformation Semigroup

Mogbonju M. M., Ojo O. A., Ogunleke I.A.

Share this Article

Downloads: 111 | Weekly Hits: ⮙3 | Monthly Hits: ⮙9

Research Paper, Mathematics, Nigeria, Volume 3 Issue 11, November 2014

Pages: 217 - 219

The 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

Share this Article

Downloads: 278 | Weekly Hits: ⮙2 | Monthly Hits: ⮙27

Research Paper, Mathematics, India, Volume 9 Issue 1, January 2020

Pages: 113 - 117

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

Abul Basar

Share this Article

Similar Articles with Keyword 'ideal'

Downloads: 27 | Weekly Hits: ⮙1 | Monthly Hits: ⮙3

Research Paper, Mathematics, India, Volume 4 Issue 3, March 2015

Pages: 911 - 915

On Moderate Fuzzy Analytic Hierarchy Process Pairwise Comparison Model

G. Marimuthu, Dr. G. Ramesh

Share this Article

Downloads: 77 | Weekly Hits: ⮙4

Research Paper, Mathematics, India, Volume 9 Issue 8, August 2020

Pages: 1544 - 1545

A Note on Fuzzy Ideals of Ring

Dr. Ranjan Kumar, Dr. Kumar Amitabh

Share this Article

Downloads: 96 | Weekly Hits: ⮙2 | Monthly Hits: ⮙9

Research Paper, Mathematics, India, Volume 4 Issue 4, April 2015

Pages: 2694 - 2699

Vague Bi-ideals and Vague Quasi Ideals of a ?-Semiring

Y. Bhargavi, T. Eswarlal

Share this Article

Downloads: 104 | Weekly Hits: ⮙4 | Monthly Hits: ⮙12

Research Paper, Mathematics, India, Volume 4 Issue 2, February 2015

Pages: 1535 - 1538

On Moderate Analytic Hierarchy Process Pairwise Comparison Model (Model II)

G. Marimuthu, Dr. G. Ramesh

Share this Article

Downloads: 108 | Weekly Hits: ⮙3 | Monthly Hits: ⮙14

Research Paper, Mathematics, Iraq, Volume 4 Issue 1, January 2015

Pages: 2283 - 2287

The Closed and Completely Closed U-BG-Ideals with Respect to Element of a U-BG-BH-Algebra

Husein Hadi Abbass, Layth Salah Mahdi

Share this Article



Top