Results 151 to 160 of about 97,313 (257)

THE COMMUTATIVITY OF PRIME NEAR RINGS

open access: yesInternational Journal of Research -GRANTHAALAYAH, 2018
Let N be a near-ring, and σ be an automorphisms of N. An additive mapping d from a near-ring N into itself is called a reverse σ-derivation on N if d (xy) = d(y) x + σ(y) d(x), holds for all x, y∈ N. In this paper, we shall investigate the commutativity of N by a reverse σ-derivation d satisfied some properties, when N is a prime ring.
openaire   +4 more sources

Commutators in division rings [PDF]

open access: yesProceedings of the American Mathematical Society, 1958
openaire   +2 more sources

A note on co-maximal graphs of commutative rings

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
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