Results 21 to 30 of about 474 (163)
SEMIPRIME IDEALS AND P−COMMUTING HOMODERIVATIONS ON IDEALS [PDF]
Facta Universitatis, Series: Mathematics and InformaticsThe first purpose of this article is to examine the structure of an S=Pquotient ring, where S is any ring and P is the semiprime ideal of S. More specifically,we look at differential identities in the semiprime ideal of an arbitrary ring using theP-commuting homoderivations.
Bedir, Zeliha
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Semiprime ideals in $C^{*}$-algebras
Journal of the European Mathematical SocietyWe show that a not necessarily closed ideal in a C^{*} -algebra is semiprime if and only if it is idempotent, if and only if it is closed under square roots of positive elements. Among other things, it follows that prime and semiprime ideals in
Eusebio Gardella +2 more
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Commutativity with Derivations of Semiprime Rings
Discussiones Mathematicae - General Algebra and Applications, 2020 Let R be a 2-torsion free semiprime ring with the centre Z(R), U be a non-zero ideal and d: R → R be a derivation mapping.
Atteya Mehsin Jabel
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Some Results of Prime And Semiprime Rings With Derivations
مجلة بغداد للعلوم, 2005 The main purpose of this paper is to study prime and semiprime rings admitting a derivation d satisfying new conditions when d acts as homomorphism on non-zero ideal.
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Fuzzy semiprime ideals in Gamma-rings
, 2010 In this paper, T. K. Dutta's and S. K. Sardar's semiprime ideal of Gamma-rings as a fuzzy semiprime ideal of a Gamma-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Gamma-rings was obtained. That is; a characterization prove of a fuzzy semiprime ideal, the relationship between fuzzy semiprime ideal and fuzzy
Ersoy, Bayram Ali
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A note on semiprime rings with derivation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 Let R be a 2-torsion free semiprime ring, I a nonzero ideal of R, Z the center of R and D:R→R a derivation. If d[x,y]+[x,y]∈Z or d[x,y]−[x,y]∈Z for all x, y∈I, then R is commutative.
Motoshi Hongan
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Dependent Elements of Derivations on Semiprime Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.
Faisal Ali, Muhammad Anwar Chaudhry
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Remarks on derivations on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 1992 We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(xy)=yx+d(yx) for all x, y in R, or (ii) xy−d(xy)=yx−d(yx) for all x, y in R.
Mohamad Nagy Daif, Howard E. Bell
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Prime i-Ideals in Ordered n-ary Semigroups
Mathematics, 2021 We study the concept of i-ideal of an ordered n-ary semigroup and give a construction of the i-ideal of an ordered n-ary semigroup generated by its nonempty subset.
Patchara Pornsurat +2 more
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Anti fuzzy ideal extension of semigroups [PDF]
Journal of Hyperstructures, 2012 In this paper the concepts of anti fuzzy l-prime ideals, anti fuzzy semiprime ideals and anti fuzzy ideal extensions in asemigroup have been introduced. They are found to satisfy characteristic function criterion and anti level subset criterion.
S. Kumar Majumder, P. Pal, S. K. Sardar
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