Results 181 to 190 of about 1,198,003 (194)
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Note on Lie ideals with symmetric bi-derivations in semiprime rings

Indian journal of pure and applied mathematics, 2022
E. K. Sögütcü, Shuliang Huang
semanticscholar   +1 more source

On Jordan Structure in Semiprime Rings

Canadian Journal of Mathematics, 1976
A remarkable theorem of Herstein [1, Theorem 2] of which we have made several uses states: If R is a semiprime ring of characteristic different from 2 and if U is both a Lie ideal and a subring of R then either U ⊂ Z (the centre of R) or U contains a nonzero ideal of R. In a recent paper [3] Herstein extends the above mentioned result significantly and
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Ad-Nilpotent Elements of Skew Index in Semiprime Rings with Involution

Bulletin of the Malaysian Mathematical Sciences Society, 2021
Jose Brox   +4 more
semanticscholar   +1 more source

Noetherian Semiprime Rings

1973
A ring S is a (classical) right quotient ring of a subring T if every regular element a ∈ T has an inverse in S and $$ S = \{ a{b^{ - 1}}|a,b \in T,b\;{\text{reular}}\} $$ Then T is an order in S (cf. 7.21). The following condition is necessary and sufficient for a ring T to possess a classical quotient ring: If a, b ∈ T, and if b is regular ...
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THE SEMIPRIMENESS OF SEMIGROUP RINGS

JP Journal of Algebra, Number Theory and Applications, 2021
Yasuyuki Hirano   +2 more
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Weakly semiprime rings

Communications in Algebra, 1984
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