Results 41 to 50 of about 1,149,018 (192)
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
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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
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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.
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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
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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
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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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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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Algebras of quotients of path algebras [PDF]
, 2007 Leavitt path algebras are shown to be algebras of right quotients of their corresponding path algebras. Using this fact we obtain maximal algebras of right quotients from those (Leavitt) path algebras whose associated graph satisfies that every vertex ...
Molina, Mercedes Siles
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