Results 171 to 180 of about 1,198,003 (194)
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On commuting additive mappings on semiprime rings
, 2020The main purpose of this paper is to describe the structure of a pair of additive mappings that are commuting on a semiprime ring.
Siriporn Lapuangkham, U. Leerawat
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A note on inner and reflexive inverses in semiprime rings
Journal of Algebra and its Applications, 2020Let [Formula: see text] be a semiprime ring, not necessarily with unity, and [Formula: see text]. Let [Formula: see text] (respectively, [Formula: see text]) denote the set of inner (respectively, reflexive) inverses of [Formula: see text] in [Formula ...
Tsiu-Kwen Lee
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FULLY PRIME MODULES AND FULLY SEMIPRIME MODULES
, 2020Fully prime rings (in which every proper ideal is prime) have been studied by Blair and Tsutsui, and fully semiprime rings (in which every proper ideal is semiprime) have been studied by Courter. For a given module M , we introduce the notions of a fully
J. Beachy, M. Medina-Bárcenas
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Mathematical Notes, 1995
It is proved that a right distributive semiprime PI ringA is a left distributive ring and for each elementx ∈A there is a positive integern such thatx n A=Ax n . We describe both right distributive right Noetherian rings algebraic over the center of the ring and right distributive ...
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It is proved that a right distributive semiprime PI ringA is a left distributive ring and for each elementx ∈A there is a positive integern such thatx n A=Ax n . We describe both right distributive right Noetherian rings algebraic over the center of the ring and right distributive ...
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On Prime and Semiprime Rings with Derivations
Algebra Colloquium, 2006Let R be a ring and S a nonempty subset of R. A mapping f: R → R is called commuting on S if [f(x),x] = 0 for all x ∈ S. In this paper, firstly, we generalize the well-known result of Posner related to commuting derivations on prime rings. Secondly, we show that if R is a semiprime ring and I is a nonzero ideal of R, then a derivation d of R is ...
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Additive n-commuting maps on semiprime rings
Proceedings of the Edinburgh Mathematical Society, 2019Let R be a semiprime ring with the extended centroid C and Q the maximal right ring of quotients of R. Set [y, x]1 = [y, x] = yx − xy for x, y ∈ Q and inductively [y, x]k = [[y, x]k−1, x] for k > 1. Suppose that f : R → Q is an additive map satisfying [f(
Cheng–Kai Liu
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On centralizers of semiprime rings with involution
Studia Scientiarum Mathematicarum Hungarica, 2006LetRbe a 2-torsion free semiprime *-ring and letT:R?Rbe an additive mapping such thatT(xx*)=T(x)x* is fulfilled for allx?R. In this caseT(xy)=T(x)yholds for all pairsx,y?R.
Joso Vukman, Irena Kosi-Ulbl
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HIGHER DERIVATIONS OF SEMIPRIME RINGS
Communications in Algebra, 2002ABSTRACT In this paper we study higher derivations of prime and semiprime rings satisfying linear relations. We extend several results known for algebraic derivations, and we prove some other results.
Claus Haetinger, Miguel Ferrero
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A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
Bulletin of the Malaysian Mathematical Sciences Society, 2021Jose Brox +4 more
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Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings
Rendiconti del Circolo Matematico di Palermo Series 2, 2022B. Dhara, S. Kar, Nripendu Bera
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