Results 31 to 40 of about 1,934 (215)

SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]

, 2009
Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
core   +1 more source

LAPLACIAN SPECTRUM AND ENERGY OF NON-COMMUTING GRAPHS OF FINITE RINGS [PDF]

Journal of Algebraic Systems
We compute spectrum, energy, Laplacian spectrum/ energy and signless Laplacian spectrum/energy of non-commuting graphs of certain finite non-commutative rings. In particular, we consider finite rings $R$ such that $|R| = p^2, p^3, p^4$, $p^5$, $p^2q$ and
Monalisha Sharma, Rajat Nath
doaj   +1 more source

Smarandache near-rings [PDF]

, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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COMMUTATIVE RINGS WITH FINITE QUOTIENT FIELDS [PDF]

Communications in Algebra, 2005
We consider the class of all commutative reduced rings for which there exists a finite subset T of A such that all projections on quotients by prime ideals of A are surjective when restricted to T. A complete structure theorem is given for this class of rings, and it is studied its relation with other finiteness conditions on the quotients of a ring ...
openaire   +2 more sources

Some conditions for finiteness and commutativity of rings

International Journal of Mathematics and Mathematical Sciences, 1990
We present several new sufficient conditions for a ring to be finite; we give two conditions which for periodic rings R imply that R must be either finite or commutative; and we study commutativity in rings with only finitely many non-central subrings.
Howard E. Bell, Franco Guerriero
doaj   +1 more source

Some results on the total zero-divisor graph of a commutative ring [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to characterize a commutative ring R with identity which is not an integral domain such that ZT(R), the total zero-divisor graph of R is connected and to determine the diameter and radius of ZT(R) whenever ZT(R) is ...
Subramanian Visweswaran
doaj   +1 more source

Nilpotent graphs with crosscap at most two

AKCE International Journal of Graphs and Combinatorics, 2018
Let be a commutative ring with identity. The nilpotent graph of , denoted by , is a graph with vertex set , and two vertices and are adjacent if and only if is nilpotent, where .
A. Mallika, R. Kala
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BIALGEBRAIC STRUCTURES AND SMARANDACHE BIALGEBRAIC STRUCTURES [PDF]

, 2003
The study of bialgebraic structures started very recently. Till date there are no books solely dealing with bistructures. The study of bigroups was carried out in 1994-1996. Further research on bigroups and fuzzy bigroups was published in 1998.
VASANTHA, KANDASAMY
core   +1 more source

ZERO-DIVISOR GRAPHS OF FINITE COMMUTATIVE RINGS: A SURVEY [PDF]

Surveys in Mathematics and its Applications, 2020
This article gives a comprehensive survey on zero-divisor graphs of finite commutative rings. We investigate the results on structural properties of these graphs.
Pradeep Singh, Vijay Kumar Bhat
doaj  

Almost zip Bezout domain

Математичні Студії, 2020
J. Zelmanowitz introduced the concept of a ring, which we call a zip ring. In this paper we characterize a commutative Bezout domain whose finite homomorphic images are zip rings modulo its nilradical.
O.M. Romaniv, B.V. Zabavsky
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