Results 31 to 40 of about 105,746 (263)

RESULTS ON QUOTIENT NEAR-RINGS INVOLVING ADDITIVE MAPS [PDF]

Journal of Algebraic Systems
We consider N to be a 3-prime field and P to be a prime ideal of N : In this paper, we studythe commutativity of the quotient ring N =P with left multipliers and derivations satisfying certainidentities on P, generalizing some well-known results in the ...
Abderrahmane Raji, Abdelkarim Boua, Abdelilah Zerbane   +2 more
doaj   +1 more source

A note on left bipotent near-rings [PDF]

Proceedings of the Edinburgh Mathematical Society, 1984
In this note it is shown that Theorem 2.8 of [2] is erroneous. Throughout this note nea-ring means a right near-ring.
openaire   +1 more source

On the existence of nil ideals in distributive near-rings [PDF]

, 1987
In this paper we show first that the sum of the nil right ideals of a distributive near-ring N and the sum of the nil left ideals of N have the same two-sided annihilator. This ideal-here denoted by α(N)-proves useful in studying the existence of nil non-
S. Di Sieno, S. De Stefano
core   +1 more source

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

The lattice of left ideals in a centralizer near-ring is distributive [PDF]

Proceedings of the American Mathematical Society, 1982
A decomposition theorem for a left ideal in a finite centralizer near-ring is established. This result is used to show that the lattice of left ideals in a finite centralizer near-ring is distributive.
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Left ideals in the near-ring of affine transformations [PDF]

Bulletin of the Australian Mathematical Society, 1991
In this paper we determine the left ideals in the near-ring Aff(V) of all affine transformations of a vector space V. It is shown that there is a Galois correspondence between the filters of affine subspaces of V and those left ideals of Aff(V) which are not left invariant.
openaire   +1 more source

A Characterization of Left Regularity

Universal Journal of Mathematics and Applications, 2019
We show that a zero-symmetric near-ring $N$ is left regular if and only if $N $ is regular and isomorphic to a subdirect product of integral near-rings, where each component is either an Anshel-Clay near-ring or a trivial integral near-ring. We also show
Peter Fuchs
doaj   +1 more source

Boolean Near-Rings [PDF]

, 1969
In this paper we introduce the concept of Boolean near-rings. Using any Boolean ring with identity, we construct a class of Boolean near-rings, called special, and determine left ideals, ideals, factor near-rings which are Boolean rings, isomorphism ...
James R. Clay, Donald A. Lawver
core   +1 more source

Weakly and strongly regular near-rings [PDF]

, 2005
In this paper, we prove some basic properties of left weakly regular near-rings. We give an affirmative answer to the question whether a left weakly regular near-ring with left unity and satisfying the IFP is also right weakly regular.
N. J. Groenewald, N. Argac, Argac, N, Groenewald, NJ   +3 more
core   +1 more source

Some Identities of 3-Prime Near-Rings Involving Jordan Ideals and Left Generalized Derivations

Iraqi Journal of Science, 2021
In the current paper, we study the structure of Jordan ideals of a 3-prime near-ring which satisfies some algebraic identities involving left generalized derivations and right centralizers. The limitations imposed in the hypothesis were justified by examples.
Adel En-guady, Abdelkarim Boua, Enaam Farhan   +2 more
openaire   +2 more sources