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2. Endomorphisms of precyclic n-groups.

Author

Dog, Sonia and Shchuchkin, Nikolay A.

Subjects
*ENDOMORPHISMS, *CYCLIC groups, *HOMOMORPHISMS, *AUTOMORPHISMS
Abstract

We characterize the sets of homomorphisms, endomorphisms and automorphisms of n-ary groups with cyclic retracts. [ABSTRACT FROM AUTHOR]

Published
2023
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4. CENTRALIZERS OF SEMIPRIME INVERSE SEMIRINGS.

Author

DOG, SONIA, FLORENCE, D. MARY, MURUGESAN, R., and NAMASIVAYAM, P.

Subjects
SEMIRINGS (Mathematics), RING theory, ABSTRACT algebra, ANALYTIC mappings, MATHEMATICAL mappings
Abstract

Let S be a 2-torsion free semiprime inverse semiring such that all elements of the form x+x' are in the center of S. We prove that any additive mapping F : S→S satisfying the condition 2F(xyx)+F(x)yx' +x' yF(x) = 0 is a centralizer. [ABSTRACT FROM AUTHOR]

Published
2021
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5. On entropicity in n-ary semigroups.

Author

Dog, Sonia

Subjects
*SEMIGROUP algebras, *ABELIAN groups, *IDEMPOTENTS, *AUTOMORPHISMS, *SURJECTIONS
Abstract

We investigate entropicity and the generalized entropic property in n-ary semigroups derived from binary semigroups satisfying for some fixed k ⩾ 2 the identity xk = x. [ABSTRACT FROM AUTHOR]

Published
2016

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