International Journal of Trend in Scientific Research and Development: Algebra

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Showing posts with label Algebra. Show all posts
Showing posts with label Algebra. Show all posts

Thursday, 17 June 2021

A Complete Ideals Derivation in Bcik – Algebras

June 17, 2021 0
A Complete Ideals Derivation in Bcik – Algebras
In this paper, introduced a new notions of N sub algebras. closed, commutative, retrenched N ideals, negative functions, and translations are introduced, and related properties are investigated. Characterizations of an N sub algebra and a Commutative N ideal are given. Relations between an N sub algebra an N ideal and commutative N ideal are discussed. We verify...

Wednesday, 16 June 2021

On BD – Algebras

June 16, 2021 0
On BD – Algebras
In this paper discuss and investigate a class of algebras which is related to several classes of algebras of interest such as BCIK algebras and which seems to have rather nice properties without being excessively complicated otherwise. A study on BK algebra discuss and investigate a class of algebras and define BK algebra and its properties and also see the...

Tuesday, 13 April 2021

Regular Left Derivations on P Semisimple Bcik Algebras

April 13, 2021 0
Regular Left Derivations on P Semisimple Bcik Algebras
In the present paper, we introduced the notion of left derivation of a BCIK – algebra and investigate some related properties. Using the idea of regular left derivation of a BCIK algebra and investigate p semi simple BCIK algebra related properties. Using regular left derivation, we give characterizations of a regular left derivation on p semi simple BCIK algebra.In...

Saturday, 3 April 2021

Regularity of Generalized Derivations in P Semi Simple BCIK Algebras

April 03, 2021 0
Regularity of Generalized Derivations in P Semi Simple BCIK Algebras
In this paper we study the regularity of inside or outside derivations in p semi simple BCIK – algebra X and prove that let d X X be an inside derivation of X. If there exists a X such that d x a = 0, then d is regular for all x X. It is also show that if X is a BCIK algebra, then every inside or outside derivation of X is regular. Furthermore the concepts of...

Thursday, 25 February 2021

Compact Monothetic C semirings

February 25, 2021 0
Compact Monothetic C semirings
In this article we present a brief history and some applications of semirings, the structure of compact monothetic c semirings. The classification of these semirings be based on known description of discrete cyclic semirings and compact monothetic semirings. by Boris Tanana "Compact Monothetic C-semirings" Published in International Journal of Trend...

Saturday, 17 October 2020

Generalized Derivations in Prime near Rings

October 17, 2020 0
Generalized Derivations in Prime near Rings
Let NP be a zero symmetric prime near ring with multiplicative centre Z. Let f NP NP be a generalized derivation de ned on NP. We prove that “If f 0 generalized derivation on NP for which a f NP Z b f x ,f y = 0 x,y NP ” Also if NP is 2 torsion free then NP is commutative ring, from which Herstein 2 Theorem comes out as a corollary.by Dr. K. L. Kaushik "Generalized...

Thursday, 28 May 2020

A Classification of Groups of Small Order upto Isomorphism

May 28, 2020 0
A Classification of Groups of Small Order upto Isomorphism
Here we classified groups of order less than or equal to 15. We proved that there is only one group of order prime up to isomorphism, and that all groups of order prime P are abelian groups. This covers groups of order 2,3,5,7,11,13"¦.Again we were able to prove that there are up to isomorphism only two groups of order 2p, where p is prime and p=3, and this...

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