Results 131 to 140 of about 475 (152)

Idempotents and completely semiprime ideals

Communications in Algebra, 1983
exaly   +2 more sources

Vague semiprime ideals of a $$\Gamma $$ Γ -semiring

Afrika Matematika, 2018
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Bhargavi, Y., Eswarlal, T.
openaire   +2 more sources

Ideal-Symmetric and Semiprime Rings

Communications in Algebra, 2013
Lambek extended the usual commutative ideal theory to ideals in noncommutative rings, calling an ideal A of a ring R symmetric if rst ∈ A implies rts ∈ A for r, s, t ∈ R. R is usually called symmetric if 0 is a symmetric ideal. This naturally gives rise to extending the study of symmetric ring property to the lattice of ideals.
Victor Camillo, Tai Keun Kwak, Yang Lee
openaire   +1 more source

k-prime and k-semiprime ideals of semirings

Asian-European Journal of Mathematics, 2020
In this paper, we study the notions of [Formula: see text]-prime and [Formula: see text]-semiprime ideals of semirings, [Formula: see text]-[Formula: see text]-system and [Formula: see text]-[Formula: see text]-system. We produce some properties and characterizations for [Formula: see text]-prime and [Formula: see text]-semiprime ideals of semirings ...
S. Purkait, T. K. Dutta, S. Kar
openaire   +1 more source

STRONGLY SEMIPRIME AND STRONGLY NILPOTENT IDEALS

JP Journal of Algebra, Number Theory and Applications, 2016
In the paper under review, the author introduces the notion of ``strongly semiprime ideals'' and it is shown that an ideal is a strongly semi prime ideal if and only if it is intersection of strongly prime ideals.
openaire   +1 more source

PRIME AND SEMIPRIME BI-IDEALS

Quaestiones Mathematicae, 1983
Abstract Prime and semiprime bi-ideals in associative rings are defined. This provides a setting for a generalization of the well-known theorem that a commutative ring is Von Neumann regular iff every ideal is semiprime.
openaire   +1 more source

ON GRADED SEMIPRIME AND GRADED WEAKLY SEMIPRIME IDEALS

2013
Let G be an arbitrary group with identity e and let R be a G-graded ring. In this paper, we define graded semiprime ideals of a commutative G-graded ring with nonzero identity and we give a number of results concerning such ideals. Also, we extend some results of graded semiprime ideals to graded weakly semiprime ideals.
FARZALİPOUR, Farkhonde, GHİASVAND, Peyman   +1 more
openaire   +1 more source

Graded S-semiprime ideals and graded weakly S-semiprime ideals of graded rings

Asian-European Journal of Mathematics
Let [Formula: see text] be a graded ring and [Formula: see text] be a multiplicative closed subset of [Formula: see text]. In this paper, we introduce the concepts of graded [Formula: see text]-semiprime ideals and graded weakly [Formula: see text]-semiprime ideals of [Formula: see text].
Shaswati Doloi, Jituparna Goswami
openaire   +1 more source

Multiplicative generalized derivations on ideals in semiprime rings

Mathematica Slovaca, 2016
Abstract Let R be a ring and I is a nonzero ideal of R. A mapping F:R → R is called a multiplicative generalized derivation if there exists a mapping g:R → R such that F(xy) = F(x)y + xg(y), for all x, y ∈ R. In the present paper, we shall prove that R contains a nonzero central ideal if any one of the following holds:
openaire   +3 more sources

Semiprime rings with D.C.C. on principal bi-ideals

Periodica Mathematica Hungarica, 1986
The main result of the paper is the equivalence of the following conditions: 1) A is a semiprime ring with d.c.c. on bi-ideals of the form aAb, a,b\(\in A\); 2) A is semiprime with d.c.c. on principal bi-ideals; 3) A is semiprime and A coincides with its right socle; 4) Every finite subset of A can be embedded in a bi-ideal of A which is semiprime ...
openaire   +2 more sources