Results 11 to 20 of about 441,153 (259)
A description of linear mappings in semiprime rings with involution [PDF]
BIO Web of ConferencesThe main purpose of this paper is to descriptive the action of the linear mappings in semi-prime rings and prime ring with involution. More precisely, we establish some results for centralizer mappings (resp.
Horan Angham Shaban, Atteya Mehsin Jabel
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An alternative approach to the structure theory of PI-rings [PDF]
, 2010 We expose a rather simple and direct approach to the structure theory of prime PI-rings ("Posner's theorem"), based on fundamental properties of the extended centroid of a prime ...
Bresar, Matej
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Associated Prime Ideal and Minimal Prime Ideal of an Ideal of an L-Subring
Fuzzy Information and Engineering, 2023 In this paper, a systematic theory for the ideals of an L-ring L(μ,R) has been developed. Earlier the authors have introduced the concepts of prime ideals, semiprime ideals, primary ideals, and radical of an ideal in an L-ring.
Anand Swaroop Prajapati +2 more
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International Journal of Mathematics and Mathematical Sciences, 1994 Let R be a ring, and let C denote the center of R. R is said to have a prime center if whenever ab belongs to C then a belongs to C or b belongs to C. The structure of certain classes of these rings is studied, along with the relation of the notion of ...
Hazar Abu-Khuzam, Adil Yaqub
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Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]
, 2011 This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész +38 more
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On the left strongly prime modules and their radicals
Lietuvos Matematikos Rinkinys, 2010 We give the new results on the theory of the one-sided (left) strongly prime modules and their strongly prime radicals. Particularly, the conceptually new and short proof of the A.L.Rosenberg’s theorem about one-sided strongly prime radical of the ring ...
Algirdas Kaučikas
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Quotient rings satisfying some identities
Cubo, 2023 This paper investigates the commutativity of the quotient ring \(\mathcal{R}/P\), where \(\mathcal{R}\) is an associative ring with a prime ideal \(P\), and the possibility of forms of derivations satisfying certain algebraic identities on \(\mathcal{R}\)
Mohammadi El Hamdaoui, Abdelkarim Boua
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High Spatial Resolution X-Ray Spectroscopy of the IC443 Pulsar Wind Nebula and Environs [PDF]
, 2015 Deep Chandra ACIS observations of the region around the putative pulsar, CXOU J061705.3+222127, in the supernova remnant IC443 reveal an ~5$^{\prime\prime}$-radius ring-like structure surrounding the pulsar and a jet-like feature oriented roughly north ...
Bucciantini, Niccolò +9 more
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On derivations of prime and semi-prime Gamma rings
Boletim da Sociedade Paranaense de Matemática, 2019 The concept of $\Gamma$-ring is a generalization of ring. Two important classes of $\Gamma$-rings are prime and semi-prime $\Gamma$-rings. In this paper, we consider the concept of derivations on prime and semi-prime $\Gamma$-rings and we study some of ...
Leili Kamali Ardakani +2 more
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Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +2 more
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