Results 111 to 120 of about 168 (124)
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Prime and Semiprime Ideals in Semirings
1999As in the case of rings, an ideal I of a semiring R is prime if and only if whenever H K ⊆ I, for ideals H and K of R, we must have either H ⊆ I or K ⊆ I. The set of all prime ideals of a semiring R is called the spectrum of R and will be denoted by spec(R).
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Derivations on Lie ideals in semiprime rings
Rendiconti del Circolo Matematico di Palermo, 1985The purpose of this note is to prove that if \(R\) is a 2-torsion free semiprime ring with a derivation \(D\) and Lie ideal \(U\) satisfying \(D^ 2(U)=0\), then \(D(U)\) is in the center of \(R\).
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On bipolar-valued fuzzy quasi-semiprime ideals of $${\mathcal {L}}{\mathcal {A}}$$-semigroups
Afrika Matematika, 2022Pairote Yiarayong, Yiarayong Pairote
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Semiprime rings with prime ideals invariant under derivations
Journal of Algebra, 2006Tsiu-Kwen Lee, Chen-Lian Chuang
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On regular, semiprime and quasi-reflexive Γ-semigroup and minimal quasi-ideals
Lobachevskii Journal of Mathematics, 2008Kostaq Hila
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Semiprime rings with minimal one-sided ideals
Lecture Notes in Mathematics, 1974Mario Petrich, Petrich Mario
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Some results on ideals of semiprime rings with multiplicative generalized derivations
Communications in Algebra, 2018Emine Koc Sogutcu, Oznur GÖLBAŞI
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The structure of S -semiprime ideals and submodules in noncommutative rings
Communications in Algebra, Alaa Abouhalaka
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