Results 101 to 110 of about 474 (163)

Crossed products over semiprime rings

, 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

, 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, Armendariz, Efraim P., Jae Keol Park, Birkenmeier, Gary F., Gary F. Birkenmeier, Efraim P. Armendariz   +5 more
core   +1 more source

On Completely Semiprime, Semiprime And Prime Fuzzy Ideals In Ordered Semigroups

, 2011
In this paper, we first introduce the new concept of completely semiprime fuzzy ideals of an ordered semigroup S, which is an extension of completely semiprime ideals of ordered semigroup S, and investigate some its related properties. Especially, we characterize an ordered semigroup that is a semilattice of simple ordered semigroups in terms of ...
openaire   +2 more sources

Generalized Derivations on Power Values of Lie Ideals in Prime and Semiprime Rings [PDF]

, 2020
Let be a 2-torsion free ring and let be a noncentral Lie ideal of , and let : → and : → be two generalized derivations of . We will analyse the structure of in the following cases: (a) is prime and ( ) = ( ) for all ∈ and fixed positive integers ̸ = ; (b)
Vincenzo De Filippis, Nadeem Ur Rehman, Abu Zaid Ansari   +2 more
core  

Semiprime f-Rings That Are Subdirect Products of Valuation Domains

, 1993
Recall that an f-ring is a lattice-ordered ring in which a Λ b = 0 implies a Λ bc = a Λ cb = 0 whenever c ≥ 0. In [BKW], an f-ring is defined to be a lattice-ordered ring which is a subdirect product of totally ordered rings.
Suzanne Larson, Larson, Suzanne, Henriksen, Melvin, Melvin Henriksen   +3 more
core   +1 more source

On nilpotent derivations of semiprime rings

, 1992
In this paper we study nilpotent derivations of semiprime rings. An associative derivation d: R → R is an additive mapping on a ring R satisfying d(xy) = d(x) y + xd(y) for all x, y ϵ R.
Grzeszczuk, Piotr
core   +1 more source

Localization at semiprime ideals

Journal of Algebra, 1976
Beachy, John A, Blair, William D
openaire   +1 more source

Lie Ideals and Homoderivations in Semiprime Rings

Mathematics
Let S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting map on U if any one of the following holds: (i)ℏ(a˜1a˜2)+a˜1a˜2∈Z, (ii)ℏ(a˜1a˜2)−a˜1a˜2∈Z, (iii)ℏa ...
Ali Yahya Hummdi, Zeliha Bedir, Emine Koç Sögütcü, Öznur Gölbaşı, Nadeem ur Rehman   +4 more
openaire   +3 more sources

On Generalized Derivations of Semiprime Rings

, 2010
The main purpose of this paper is to study and investigate some results concerning generalized derivation D on semiprime ring R , we obtain R contains a non-zero central ideal .
Mehsin Jabel Atteya
core  

Maximal quotients of semiprime PI-algebras

, 1974
J. Fisher [3] initiated the study of maximal quotient rings of semiprime PI-rings by noting that the singular ideal of any semiprime Pi-ring R is 0; hence there is a von Neumann regular maximal quotient ring Q ( R )
Louis Halle Rowen
core   +1 more source