КИ

К. И. Бейдар

Ohio University

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M. A. Chebotar

Kent State University

Y. Fong

National Cheng Kung University

W.-F. Ke

National Cheng Kung University

Matej Brešar

Institute of Mathematics, Physics, and Mechanics

A. V. Mikhalëv

Lomonosov Moscow State University

Wallace S. Martindale

University of Massachusetts Amherst

S. K. Jain

Louisiana State University Health Sciences Center New Orleans

E. R. Puczyłowski

University of Warsaw

A. V. Mikhalev

Lomonosov Moscow State University

КС

К. Салавова

Slovak University of Technology in Bratislava

Cooperative Institutions

Lomonosov Moscow State University

Russian Academy of Sciences

Steklov Mathematical Institute

Moscow State University

National Cheng Kung University

Encyclopædia Britannica (United States)

Computing Center

University of Maribor

Czech Academy of Sciences, Institute of Mathematics

Mathematical Institute of the Slovak Academy of Sciences

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Semigroups with generalized polynomial identities

De Gruyter eBooks (1996)

К. И. Бейдар Y. Fong Ulrich Knauer A. V. Mikhalëv K. P. Shum

10.1515/9783110883220-007

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Citations (3)

Maximal Right Nearring of Quotients and Semigroup Generalized Polynomial Identity

Resultate der Mathematik (2002)

К. И. Бейдар Y. Fong W.-F. Ke

In the present paper, we study the maximal right nearring of quotients of 3-semiprime nearrings. We establish its existence by an explicit construction and give an axiomatic description. We show that the operation of taking the maximal right nearring of quotients is idempotent. Further, we show that the maximal right nearring of quotients of a 3-prime nearring N with a minimal left N-subgroup is a centralizer nearring determined by some fixed point free group of automorphisms. Finally, we describe equiprime nearrings with nontrivial multilinear semigroup generalized polynomial identities. They are the equiprime nearrings whose maximal right nearring of quotients are the centralizer nearrings determined by commutative fixed point free groups of automorphisms.

Centralizer and normalizer

Finitary

10.1007/bf03323549

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Citations (5)

On the simplicity of centralizer nearrings

De Gruyter eBooks (1996)

К. И. Бейдар Y. Fong W.-F. Ke

Simplicity

Centralizer and normalizer

10.1515/9783110883220-006

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Citations (3)

Posner and herstein theorems for derivations of 3-prime near-rings

Communications in Algebra (1996)

К. И. Бейдар Y. Fong X. K. Wang

Abstract The analog of Posner's theorem on the composition of two derivations in prime rings is proved for 3-prime near-rings. It is shown that if d is a nonzero derivation of a 2-torsionfree 3-prime near-ring N and an element a ∊ N is such that axd = xda for all x ∊ N, then a is a central element. As a consequence it is shown that if d\ and d2 are nonzero derivations of a 2-torsionfree 3-prime near-ring N and xd1yd2 = yd2xd1 for all x, y ∊ N, then N is a commutative ring. Thus two theorems of Herstein are generalized 1991 Mathematics Subject Classification: Primary 16Y30

Prime ring

Associated prime

Semiprime ring

Prime element

10.1080/00927879608825656

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Citations (37)

Applying functional identities to some linear preserver problems

Pacific Journal of Mathematics (2002)

К. И. Бейдар Matej Brešar M. A. Chebotar Y. Fong

The theory of functional identities is used to obtain algebraic generalizations of some

10.2140/pjm.2002.204.257

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Citations (21)

On functional identities and commuting additive mappings

Communications in Algebra (1998)

К. И. Бейдар

We study functional identities of degree m. As an application of obtained results, we describe additive mappings fi:A→Aof a prime ring A satisfying a functional identity of the form Provided that Ais not algebraic of bounded degree ≤nover the extended centroid. A number of results on k-commuting additive mappings and commuting traces of m-additive mappings, obtained earlier, are special cases of our ones.

Degree (music)

Prime ring

Centroid

Functional equation

Algebraic properties

10.1080/00927879808826241

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Citations (78)

Strongly semiprime modules and rings

Russian Mathematical Surveys (1993)

К. И. Бейдар Robert Wisbauer

Semiprime ring

Semiprime

10.1070/rm1993v048n01abeh000989

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Citations (4)

The Structure of Right Continuous Right π-Rings

Communications in Algebra (2004)

К. И. Бейдар S. K. Jain

Abstract Recently Jain, López-Permouth and Syed classified indecomposable non-local right continuous right π-rings. In the present article we describe the structure of right continuous right π-rings.

Indecomposable module

10.1081/agb-120027869

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Citations (7)

Some examples of supernilpotent non-special radicals

Acta Mathematica Academiae Scientiarum Hungaricae (1982)

К. И. Бейдар К. Салавова

10.1007/bf01897308

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Citations (7)

On the hearts of subdirectly irreducible near-rings

Southeast Asian Bulletin of Mathematics (1994)

К. И. Бейдар

Source

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