Results 91 to 100 of about 475 (152)

Dependent Elements of Derivations on Semiprime Rings

International Journal of Mathematics and Mathematical Sciences, 2009
We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.
Faisal Ali, Muhammad Anwar Chaudhry
doaj   +1 more source

On The Ideals of a Lie Ring of Derivations

, 2013
[[abstract]]Let R be a commutative ring, and D a Lie subring and an R-submodule of Der(R) such that R is D-semiprime (or D-prime). We investigate the structure of the ideals of D as Lie rings.
Liu, Cheng-Kai
core  

On Semiprime Ample Jordan Rings

, 1976
The purpose of this paper is to point out that the arguments of [2] with slight modification extend the main result of [2] to the case of H satisfying either ACC or DCC on quadratic ideals and they extend [6, Theorem 2] to R being semiprime.
Daniel J. Britten
core   +1 more source

On the rhomboidal heredity in ideal lattices [PDF]

, 1992
summary:We show that the class of principal ideals and the class of semiprime ideals are rhomboidal hereditary in the class of modular lattices. Similar results are presented for the class of ideals with forbidden exterior quotients and for the class of ...
Beran, Ladislav
core  

Fuzzy Quasi-ideals of Ordered Semigroups [PDF]

, 2009
In this paper, we characterize ordered semigroups in terms of fuzzy quasi-ideals. We characterize left simple, right simple and completely regular ordered semigroups in terms of fuzzy quasi-ideals.
Muhammad Shabir, Asghar Khan
core  

Structure theory for multiplicatively semiprime algebras

, 2004
In this paper we shall develop a structure theory for multiplicatively semiprime algebras. To this end we shall introduce an algebraic closure for ideals of an algebra A, which involves the multiplication algebra M(A) of A.
Cabrera, M., Cabello, J.C.
core   +1 more source

ASSOCIATED PRIME IDEALS IN C(X) [PDF]

Journal of Sciences, Islamic Republic of Iran, 2000
The minimal prime decomposition for semiprime ideals is defined and studied on z-ideals of C(X). The necessary and sufficient condition for existence of the minimal prime decomposition of a z-ideal / is given, when / satisfies one of the following ...
doaj  

On fuzzy prime and fuzzy semiprime ideals of $\le$-hypergroupoids

Journal of Hyperstructures, 2016
We deal with an hypergroupoid endowed with a relation denoted by "$\le$", we call it $\le$--hypergroupoid. We prove that a nonempty subset $A$ of a $\le$--hypergroupoid $H$ is a prime (resp. semiprime) ideal of $H$ if and only if its characteristic function $f_A$ is a fuzzy prime (resp. fuzzy semiprime) ideal of $H$.
openaire   +3 more sources

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

A Note on Semiprime Rings with Torsionless Injective Envelope

, 1973
Satyanarayana establishes in [6] that a semiprime right selfinjective ring with ACC on annihilator right ideals is semisimple Artinian, thereby extending a similar result of Koh [5] for prime rings.
Efraim P. Armendariz
core   +1 more source