Results 61 to 70 of about 2,393 (148)
A Note on Skew Derivations and Antiautomorphisms of Prime Rings
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, we investigate the behavior of a prime ring which admits a skew derivation satisfying certain functional identities involving an antiautomorphism. We employ tools such as generalized identities and commutativity‐preserving maps to analyze these rings.
Faez A. Alqarni +5 more
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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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ON GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS
Journal of Kufa for Mathematics and Computer, 2012 The main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime near- rings and 3-prime near-ring N ,we give some
Mehsin Jabel Atteya +1 more
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Ring Endomorphisms with Large Images [PDF]
, 2012 The notion of ring endomorphisms having large images is introduced. Among others, injectivity and surjectivity of such endomorphisms are studied. It is proved, in particular, that an endomorphism S of a prime one-sided noetherian ring R is injective ...
Leroy, André, Matczuk, Jerzy
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A generalization of quantales with applications to modules and rings
, 2016 We introduce a lattice structure as a generalization of meet-continuous lattices and quantales. We develop a point-free approach to these new lattices and apply these results to $R$-modules. In particular, we give the module counterpart of the well known
Bárcenas, Mauricio Medina +2 more
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A Study of Generalized Differential Identities via Prime Ideals
Journal of Mathematics, Volume 2025, Issue 1, 2025.Let R be a ring and P be a prime ideal of R. The aim of this research paper is to delve into the relationship between the structural properties of the quotient ring R/P and the behavior of generalized derivations in a ring R endowed with an involution.
Ali Yahya Hummdi +4 more
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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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International Journal of Mathematics and Mathematical Sciences, 2004 In a recent paper we have extended the classical Herstein's theorem on Jordan derivations on prime rings to Jordan superderivations on prime associative superalgebras. In the present paper we extend this result to semiprime associative superalgebras.
Maja Fošner
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Indecomposable Decomposition and couniserial dimension
, 2014 Dimensions like Gelfand, Krull, Goldie have an intrinsic role in the study of theory of rings and modules. They provide useful technical tools for studying their structure.
Ghorbani, A., Jain, S. K., Nazemian, Z.
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Modules With Epimorphisms Between Their Submodules
Journal of Mathematics, Volume 2025, Issue 1, 2025.An R‐module M is called weakly uniserial if its submodules are comparable regarding embedding, i.e., if for any two submodules N, K of M, HomR(N, K) or HomR(K, N) contains an injective element. Here, we are interested in studying modules which for any two submodules of them there is an epimorphism from one to the other.
P. Karimi Beiranvand, Pramita Mishra
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