Some Algebraic Identities in 3-Prime Near-Rings
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DOI: 10.1007/s11253-020-01762-5
Abstract: We extend the domain of applicability of the concept of $(1, \alpha)$-derivations in $3$-prime near-rings by analyzing the structure and commutativity of near-rings admitting $(1, \alpha)$-derivations satisfying certain differential identities. read more here.
Keywords: algebraic identities; identities prime; prime near; near rings ... See more keywords
Near-rings on nearness approximation spaces
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DOI: 10.3906/mat-1912-81
Abstract: In this study, nearness near-ring, subnearness near-ring, nearness M-group and nearness ideal are introduced. By considering operations on the set of all near left weak cosets, nearness near-ring of all near left weak cosets and… read more here.
Keywords: rings nearness; near rings; near ring; approximation spaces ... See more keywords
SPECIAL RADICALS FOR NEAR-RING
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DOI: 10.5556/j.tkjm.27.1996.3956
Abstract: The concept of a special radical for near-rings has been treated in several nonequivalent, but related, ways in the recent literature. We use the version due to K. Kaarli to establish that various prime radicals… read more here.
Keywords: special radicals; radicals near; near ring; near rings ... See more keywords