Title of article
IDENTITIES IN 3-PRIME NEAR-RINGS WITH LEFT MULTIPLIERS
Author/Authors
boua, a. sidi mohammed ben abdellah university - polydisciplinary faculty, lsi - department of mathematics physics and computer science, Taza, Morocco , ashraf, m. aligarh muslim university - department of mathematics, Aligarh, India
From page
67
To page
77
Abstract
Let N be a 3-prime near-ring with the center Z(N ) and n ≥ 1 be a fixed positive integer. In the present paper it is shown that a 3-prime near-ring N is a commutative ring if and only if it admits a left multiplier F satisfying any one of the following properties: (i) F n([x, y]) ∈ Z(N ), (ii) F n(x ◦ y) ∈ Z(N ), (iii)F n([x, y])±(x◦ y) ∈ Z(N ) and (iv)F n([x, y])±x◦ y ∈ Z(N ), for all x, y ∈ N .
Keywords
3 , Prime near , ring , derivations , commutativity , left multipliers
Journal title
Journal of Algebra and Related Topics
Journal title
Journal of Algebra and Related Topics
Record number
2592721
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