Results 41 to 50 of about 59,526 (169)

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.
openaire   +3 more sources

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.
openaire   +3 more sources

The Wreath Product of Semiprime Skew Braces is Semiprime [PDF]

Comm. Algebra, 49.2 (2021): 533-537, 2019
In this note, we show that the wreath product of two semiprime skew braces is also a semiprime skew brace.
arxiv   +1 more source

When is a smash product semiprime? [PDF]

Journal of Algebra 275(1), 339-355 (2004), 2002
It is an open question whether the smash product of a semisimple Hopf algebra and a semiprime module algebra is semiprime. In this paper we show that the smash product of a commutative semiprime module algebra over a semisimple cosemisimple Hopf algebra is semiprime.
arxiv   +1 more source

Commutativity results for semiprime rings with derivations

International 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

On Prime and Semiprime Rings with Symmetric Generalized Biderivations

Al-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, Dheaa K. Hussain K. Hussein   +1 more
doaj   +1 more source

On Semiprime P.I. Rings [PDF]

Proceedings of the American Mathematical Society, 1973
The main results proved in this paper are that if R R is a semiprime ring satisfying a polynomial identity then (1) the maximal right quotient ring of R R is also P.I. and (2) every essential one-sided ideal of R R contains an essential two-sided ideal of R R .
openaire   +2 more sources

Embeddings of semiprime rings into semisimple Artinian rings [PDF]

arXiv, 2023
Goldie's Theorem implies that a semiprime left Goldie ring is embeddable into a semisimple Artinian ring. On the other hand, there are domains that are not embeddable into division rings. A criterion for a semiprime ring being embeddable into a semisimple Artinian ring is given.
arxiv  

On a theorem of McCoy [PDF]

Mathematica 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