Results 31 to 40 of about 1,198,003 (194)
Centrally Extended -Homoderivations on Prime and Semiprime Rings
Journal of mathematics, 2022 We present a new type of mappings called centrally extended α -homoderivations of a ring ℜ
Mahmoud M. El-Soufi, A. Ghareeb
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Generalized multiplicative α-skew derivations on rings
Boletim da Sociedade Paranaense de Matemática, 2022 Let R be a semiprime (or prime) ring and U be a nonzero ideal of R. In the present paper, we study the notions of multiplicative generalized α-skew derivations on ideals of R and prove that if R admits a multiplicative generalized α-skew derivation G ...
Abdelkarim Boua +2 more
doaj +1 more source
Strongly semiprime rings [PDF]
Pacific Journal of Mathematics, 1975 For a ring with 1, we show that every proper kernel functor generates a proper torsion radical if and only if the ring is a finite subdirect product of strongly prime (also called ATF) rings. This is equivalent to every essential right ideal containing a finite set whose right annihilator is zero.
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On rings of quotients of semiprime $\Gamma$-rings [PDF]
Miskolc Mathematical Notes, 2012 WOS ...
Koc, Emine, Golbasi, Oznur
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The hulls of semiprime rings [PDF]
Bulletin of the Australian Mathematical Society, 1975 Each semiprime ring admits a unique projectable, strongly projectable, laterally complete and orthocomplete hull. Almost all of the theory for X–hulls of lattice-ordered groups in Paul Conrad, “The hulls of representable l-groups and f-rings”, J. Austral. Math. Soc. 16 (1973), 385–415, has a counterpart for semiprime rings.
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The Wreath Product of Semiprime Skew Braces is Semiprime [PDF]
Comm. Algebra, 49.2 (2021): 533-537, 2019 In this note, we show that the wreath product of two semiprime skew braces is also a semiprime skew brace.
arxiv +1 more source
When is a smash product semiprime? [PDF]
Journal of Algebra 275(1), 339-355 (2004), 2002 It is an open question whether the smash product of a semisimple Hopf algebra and a semiprime module algebra is semiprime. In this paper we show that the smash product of a commutative semiprime module algebra over a semisimple cosemisimple Hopf algebra is semiprime.
arxiv +1 more source
, 2021 Let R be a commutative ring with identity, and M be unital (left) R-module. In this paper we introduce and study the concept of small semiprime submodules as a generalization of semiprime submodules.
H. Ramadhan, N. S. A. Mothafar
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A result related to derivations on unital semiprime rings
Glasnik Matematicki - Serija III, 2021 The purpose of this paper is to prove the following result. Let n≥3 be some fixed integer and let R be a (n+1)!2n-2-torsion free semiprime unital ring. Suppose there exists an additive mapping D: R→ R satisfying the relation for all x ∈ R. In this case D
I. Kosi-Ulbl +3 more
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Journal of Applied Mathematics and Computational Mechanics, 2014 In this paper we present some results for FDI-rings, i.e. rings with a complete set of pairwise orthogonal primitive idempotents. We consider the nilpotency index of ideals and give its upper band for ideals in some classes of rings. We also give a new proof of a criterion of semiprime FDI-rings to be prime.
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