Results 31 to 40 of about 2,745 (167)
Fuzzy weakly prime Γ-ideals in Γ-rings [PDF]
Journal of Hyperstructures, 2017 In this work, we investigate fuzzy weakly prime Γ-ideal, fuzzy partial weakly prime Γ-ideal and fuzzy semiprime Γ- ideal of a commutative Γ-ring with nonzero identity. We obtained some characterizations of fuzzy weakly prime Γ-ideal, partial weakly prime
G¨ul¸sah Ye¸silkurt +3 more
doaj +1 more source
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 The aim of the paper is to give a description of nonlinear Jordan derivable mappings of a certain class of generalized matrix algebras by Lie product square‐zero elements. We prove that under certain conditions, a nonlinear Jordan derivable mapping Δ of a generalized matrix algebra by Lie product square‐zero elements is a sum of an additive derivation ...
Xiuhai Fei, Haifang Zhang, Wenpeng Zhang
wiley +1 more source
PI theory for Associative Pairs [PDF]
, 2019 We extend the classical associative PI-theory to Associative Pairs, and in doing so, we introduce related notions already present for algebras (and Jordan systems) as the ones of PI-element and PI-ideal, extended centroid and central ...
Montaner, F., Paniello, I.
core +2 more sources
GENERALIZED DERIVATIONS ON SEMIPRIME RINGS [PDF]
Bulletin of the Korean Mathematical Society, 2011 Let R be a prime ring, I a nonzero ideal of R and n a fixed positive integer. If R admits a generalized derivation F associated with a derivation d such that c for all x, . Then either R is commutative or n = 1, d = 0 and F is the identity map on R.
DE FILIPPIS, Vincenzo, S. Huang
openaire +2 more sources
A Class of Nonlinear Nonglobal Semi‐Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we proved that each nonlinear nonglobal semi‐Jordan triple derivable mapping on a 2‐torsion free triangular algebra is an additive derivation. As its application, we get the similar conclusion on a nest algebra or a 2‐torsion free block upper triangular matrix algebra, respectively.
Xiuhai Fei, Haifang Zhang, Wenpeng Zhang
wiley +1 more source
The Source of Semiprimeness of Semigroups
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this study, we define new semigroup structures using the set SS = {a ∈ S|aSa = 0} which is called the source of semiprimeness for a semigroup S with zero element. |SS|−idempotent semigroup, |SS|−regular semigroup, |SS|−reduced semigroup, and |SS|−nonzero divisor semigroup which are generalizations of idempotent, regular, reduced, and nonzero divisor
Barış Albayrak +3 more
wiley +1 more source
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
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[Retracted] (m, n)‐Ideals in Semigroups Based on Int‐Soft Sets
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 Algebraic structures play a prominent role in mathematics with wide ranging applications in many disciplines such as theoretical physics, computer sciences, control engineering, information sciences, coding theory, and topological spaces. This provides sufficient motivation to researchers to review various concepts and results from the realm of ...
G. Muhiuddin +2 more
wiley +1 more source
Soft prime and semiprime int-ideals of a ring
AIMS Mathematics, 2020 In this paper, some properties of soft radical of a soft int-ideal have been developed and soft prime int-ideal, soft semiprime int-ideal of a ring are defined. Several characterizations of soft prime (soft semiprime) int-ideals are investigated. Also it
Jayanta Ghosh +2 more
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Ore and Goldie theorems for skew PBW extensions [PDF]
, 2013 Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW (Poincar\'e-Birkhoff-Witt) extensions. Indeed, Weyl algebras, enveloping algebras of finite-dimensional Lie algebras (and its quantization), Artamonov quantum polynomials,
Acosta, Juan Pablo +4 more
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