Results 11 to 20 of about 2,559,890 (300)

Fully idempotent near-rings and sheaf representations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
Fully idempotent near-rings are defined and characterized which yields information on the lattice of ideals of fully idempotent rings and near-rings.
Javed Ahsan, Gordon Mason
doaj   +2 more sources

Graded near-rings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties.
Dumitru Mariana   +2 more
doaj   +2 more sources

A note on soft near-rings and idealistic soft near-rings

open access: yesFilomat, 2011
Molodtsov introduced the theory of soft sets, which can be seen as an effective mathematical tool to deal with uncertainties, since it is free from the difficulties that the usual theoretical approaches have troubled.
Atagun, Akin Osman   +5 more
core   +5 more sources

Boolean Near-Rings

open access: yesCanadian Mathematical Bulletin, 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   +2 more sources

Primitive near-rings [PDF]

open access: yes, 1970
The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
core   +8 more sources

ON GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS

open access: yesJournal of Kufa for Mathematics and Computer, 2012
The  main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime  near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime  near- rings and 3-prime near-ring N ,we give some
Mehsin Jabel Atteya   +1 more
doaj   +2 more sources

Embedding near-rings into polynomial near-rings [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 1982
In this paper we will show that large classes of near-rings are embeddable into (or even isomorphic to) near-rings Gν[x] of polynomials over G in a suitably chosen variety ν of Ω-groups.For near-rings see [2], for polynomials [1]; for near-rings of polynomials over Ω-groups see [3] [4], [5].
Meldrum, John D. P.   +2 more
openaire   +1 more source

Smarandache near-rings [PDF]

open access: yes, 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
core   +1 more source

Certain near-rings are rings, II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
We investigate distributively-generated near-rings R which satisfy one of the following conditions: (i) for each x,y∈R, there exist positive integers m, n for which xy=ymxn; (ii) for each x,y∈R, there exists a positive integer n such that xy=(yx)n. Under
Howard E. Bell
doaj   +1 more source

Morphic elements in regular near-rings

open access: yes, 2023
We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is prop?erly contained between the classes of left strongly regular and unit-regular near-rings.
Philly Kimuli (14349951)
core   +1 more source

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