Results 31 to 40 of about 2,393 (148)

G-algebras, twistings, and equivalences of graded categories [PDF]

open access: yes, 2007
Given Z-graded rings A and B, we study when the categories gr-A and gr-B are equivalent. We relate the Morita-type results of Ahn-Marki and del Rio to the twisting systems introduced by Zhang.
Sierra, Susan J.
core   +4 more sources

On Prime and Semiprime Rings with Symmetric Generalized Biderivations

open access: yesAl-Mustansiriyah Journal of Science, 2017
The propose of this paper is to present some results concerning the symmetric generalized Biderivations when their traces satisfies some certain conditions on an ideal of prime and semiprime rings.
Auday H. Mahmood   +1 more
doaj   +1 more source

Noncommutative generalizations of theorems of Cohen and Kaplansky [PDF]

open access: yes, 2011
This paper investigates situations where a property of a ring can be tested on a set of "prime right ideals." Generalizing theorems of Cohen and Kaplansky, we show that every right ideal of a ring is finitely generated (resp.
A Kertész   +38 more
core   +2 more sources

Commutativity results for semiprime rings with derivations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
We extend a result of Herstein concerning a derivation d on a prime ring R satisfying [d(x),d(y)]=0 for all x,y∈R, to the case of semiprime rings. An extension of this result is proved for a two-sided ideal but is shown to be not true for a one-sided ...
Mohammad Nagy Daif
doaj   +1 more source

Neutrosophic Rings [PDF]

open access: yes, 2006
This book has four chapters. Chapter one is introductory in nature, for it recalls some basic definitions essential to make the book a self-contained one.
Kandasamy, W. B. Vasantha   +1 more
core   +3 more sources

On a theorem of McCoy [PDF]

open access: yesMathematica Bohemica
We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings.
Rajendra Kumar Sharma, Amit B. Singh
doaj   +1 more source

New characterization theorems of the mp-quantales [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2021
The mp-quantales were introduced in a previous paper as an abstraction of the lattices of ideals in mp-rings and the lattices of ideals in conormal lattices. Several properties of m-rings and conormal lattices were generalized to mp-quantales.
George Georgescu
doaj   +1 more source

On Maps of Period 2 on Prime and Semiprime Rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2014
A map f of the ring R into itself is of period 2 if f2x=x for all x∈R; involutions are much studied examples. We present some commutativity results for semiprime and prime rings with involution, and we study the existence of derivations and generalized ...
H. E. Bell, M. N. Daif
doaj   +1 more source

A note on Jordan left *-centralizers on prime and semiprime rings with involution

open access: yesJournal of Taibah University for Science, 2017
The aim of this note is to give alternative and short proofs for some results to Ali et al. in [3] by using the relationship between the concepts of Jordan left *-centralizer and right centralizer on a 2-torsion free semiprime rings endowed with ...
M.S. Tammam El-Sayiad   +2 more
doaj   +1 more source

On Generalized Left Derivation on Semiprime Rings [PDF]

open access: yesEngineering and Technology Journal, 2016
Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x ...
A. Majeed, Shaima,a Yass, a B. Yass
doaj   +1 more source

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