Results 41 to 50 of about 180 (160)
Tamkang Journal of Mathematics, 2003 Let $ R $ be a commutative ring with 1. We define $ R $ to be an annihilator-semigroup ring if $ R $ has an annihilator-Semigroup $ S $, that is, $ (S, \cdot) $ is a multiplicative subsemigroup of $ (R, \cdot) $ with the property that for each $ r \in R $ there exists a unique $ s \in S $ with $ 0 : r = 0 : s $. In this paper we investigate annihilator-
Anderson, D. D., Camillo, Victor
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Le Matematiche, 2009 A corpid is a ring (K, +, ·), different from zero, such that (K, ·) is an inverse semigroup. We prove a characterization of corpids, some remarkable results about the lattice of the idempotents and other results concerning the idempotents and the zero ...
Maria Scafati Tallini, Maurizio Iurlo
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Relazione d'ordine in un corpide
Le Matematiche, 2009 A corpid is a ring (K, +, ·), different from zero, such that (K, ·) is an inverse semigroup. We define an order relation and the notion of simple element. By this we prove several results and a characterization of corpids.
Maria Scafati Tallini, Maurizio Iurlo
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Discussiones Mathematicae - General Algebra and Applications, 2019 In this paper, we introduce the notion of a Г-field as a generalization of field, study them properties of a Г -field and prove that M is a Г-field if and only if M is an integral, simple and commutative Г-ring.
Rao Marapureddy Murali Krishna
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On Semigroup Ideals and Right n-Derivation in 3-Prime Near-Rings
مجلة بغداد للعلومThe current paper studied the concept of right n-derivation satisfying certified conditions on semigroup ideals of near-rings and some related properties.
Enaam Farhan
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On semigroups admitting ring structure [PDF]
Semigroup Forum, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Relatively Orthocomplemented Skew Nearlattices in Rickart Rings
Demonstratio Mathematica, 2015 A class of (right) Rickart rings, called strong, is isolated. In particular, every Rickart *-ring is strong. It is shown in the paper that every strong Rickart ring R admits a binary operation which turns R into a right normal band having an upper bound ...
Cīırulis Jānis
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Semigroup Rings and Semilattice Sums of Rings [PDF]
Proceedings of the American Mathematical Society, 1973 A generalization of the concept of a decomposition of a ring into a direct sum of ideals is introduced. The question of semisimplicity of the ring in terms of the semisimplicity of its summands is investigated. The results are applied to semigroup rings.
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Ring and Semigroup Constructions
, 2016 In this paper we present a survey on some ring constructions, recently introduced and studied, and we show how to produce some analogous semigroup constructions. Moreover, we describe how to translate at semigroup level some ring properties of these constructions; in particular, we will focus on the Gorenstein property and to its semigroup counterpart,
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper we study the concept of sets of elements, related to results of an associative binary operation. We discuss this issue in the context of matrices and lattices.
Křehlík Štěpán, Novák Michal
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