Results 81 to 90 of about 475 (163)

When is a smash product semiprime? A partial answer [PDF]

open access: yes, 2004
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 ...
Lomp, Christian
core   +1 more source

SEMIPRIME CROSSED PRODUCTS [PDF]

open access: yes, 2014
. Let R * G denote a crossed product of the group G over the ring R. In this paper, we are again concerned with finding necessary and sufficient conditions for R * G to be semiprime.
D. S. Passman
core  

Sums of semiprime, 𝑧, and 𝑑𝑙-ideals in a class of 𝑓-rings [PDF]

open access: yes, 1990
In this paper it is shown that there is a large class of f f -rings in which the sum of any two semiprime l l -ideals is semiprime.
Suzanne Larson
core   +1 more source

MODUL SEMIPRIME [PDF]

open access: yes
Suatu -modul kanan  dikatakan prime jika dan hanya jika untuk setiap submodul , berlaku . -modul kanan  dikatakan semiprime jika dan hanya jika submodul  semiprime. Dalam tulisan ini, diberikan beberapa syarat sehingga didapat pernyataan ;
Suprapto, Suprapto
core   +1 more source

On f - prime radical in ordered semigroups

open access: yesOpen Mathematics, 2018
In this paper, we introduce the concepts of f-prime ideals, f-semiprime ideals and f-prime radicals in ordered semigroups. Furthermore, some results on f-prime radicals and f-primary decomposition of an ideal in an ordered semigroup are obtained.
Gu Ze
doaj   +1 more source

A study of derivable mappings of semiprime rings [PDF]

open access: yes, 2018
Throughout this note, \(R\) denotes an associative ring and \(C(R)\) be the center of \(R\). In this paper, it isproved that a non-central Lie ideal \(L\) of a semiprime ring \(R\) contains a nonzero ideal of \(R\) and this result isused to obtain ...
Deepak Kumara, Gurninder S. Sandhu
core   +1 more source

A note on centralizers

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
For prime rings R, we characterize the set U∩CR([U,U]), where U is a right ideal of R; and we apply our result to obtain a commutativity-or-finiteness theorem. We include extensions to semiprime rings.
Howard E. Bell
doaj   +1 more source

A note on Cohn's universal localisation at a semiprime ideal [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2004
The universal localisation RΓ(s) at a semiprime ideal S of a left Noetherian ring R was defined and studied by P. M. Cohn. In this note we investigate the interaction between the universal localisation RΓ(s), the Ore localisation at S, and the torsion-theoretic localisation at the injective envelope E(R/S) of the module R(R/S).
openaire   +2 more sources

Crossed products over semiprime rings [PDF]

open access: yes, 2014
Let R ß G denote a crossed product of the group G over the ring R. In this paper we obtain conditions on R and G which insure that R * G is semiprime under the assumption that R is semiprime.
Arh L So A, D. S. Passman
core  

Ideal intrinsic extensions with connections to PI-rings [PDF]

open access: yes, 2009
In this paper, we extend various classical results by Armendariz and Steinberg, Fisher, Kaplansky, Martindale, Posner, and Rowen on semiprime PI-rings. We do this by introducing several new generalizations of the class of semiprime PI-rings.
Park, Jae Keol   +5 more
core   +1 more source

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