Results 21 to 30 of about 327,963 (245)

Commutative periodic group rings

Математичні Студії, 2020
We find a satisfactory criterion when a commutative group ring $R(G)$ is periodic only in terms of $R$, $G$ and their sections, provided that $R$ is local.
P. Danchev
doaj   +1 more source

Enumeration of Involutions of Finite Rings

Journal of New Theory, 2021
In this paper, we study a special class of elements in the finite commutative rings called involutions. An involution of a ring R is an element with the property that x^2-1=0 for some x in R.
Sajana Shaık, Chalapathi Tekurı
doaj   +1 more source

Operads and Γ-homology of commutative rings [PDF]

, 2002
We introduce Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology.
Robinson, Alan (C. Alan), Whitehouse, Sarah Ann   +1 more
core   +1 more source

A NON-COMMUTATIVE GENERALIZATION OF MTL-RINGS [PDF]

Journal of Algebraic Systems
The current work extends the class of commutative MTL-rings established by the authors to the non-commutative ones. That class of rings will be named generalized MTL-rings since they are not necessary commutative. We show that in the non-commutative case,
Samuel Mouchili, Surdive Atamewoue, Selestin Ndjeya   +2 more
doaj   +1 more source

Intuitionistic fuzzy 2-absorbing ideals of commutative rings [PDF]

Journal of Hyperstructures, 2017
The aim of this paper is to give a definition of an intuitionistic fuzzy 2- absorbing ideal and an intuitionistic fuzzy weaklycompletely 2- absorbing ideal of commutative rings and to give their properties.
sanem yavuz, SERKAN ONAR, Deniz S¨onmez, Bayram Ali Ersoy   +3 more
doaj   +1 more source

Commutator rings [PDF]

Bulletin of the Australian Mathematical Society, 2006
A ring is called a commutator ring if every element is a sum of additive commutators. In this note we give examples of such rings. In particular, we show that given any ring R, a right R-module N, and a nonempty set Ω, EndR(⌖ΩN) and EndR(ΠΩN) are commutator rings if and only if either Ω is infinite or EndR(N) is itself a commutator ring.
openaire   +3 more sources

Smarandache rings [PDF]

, 2002
Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
core   +1 more source

NEUTROSOPHIC RINGS [PDF]

, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy, Kandasamy, W.B. Vasantha, Smarandache, Florentin   +2 more
core   +1 more source

SMARANDACHE NON-ASSOCIATIVE RINGS [PDF]

, 2002
An associative ring is just realized or built using reals or complex; finite or infinite by defining two binary operations on it. But on the contrary when we want to define or study or even introduce a non-associative ring we need two separate algebraic ...
Vasantha, Kandasamy
core   +1 more source

COMMUTATIVITY THEOREMS FOR RINGS WITH CONSTRAINTS ON COMMUTATORS

Tamkang Journal of Mathematics, 1995
Let $R$ be a left (resp. right) $s$-unital ring and $m$ be a positive integer. Suppose that for each $y$ in $R$ there exist $J(t)$, $g(t)$, $h(t)$ in $Z[t]$ such that $x^m[x,y]= g(y)[x,y^2f(y)]h(y)$ (resp. $[x,y]x^m= g(y)[x,y^2f(y)]h(y))$ for all $x$ in $R$. Then $R$ is commutative (and conversely).
Abujabal, H. A. S., Ashraf, Mohd.
openaire   +3 more sources