Results 141 to 150 of about 475 (163)

Fuzzy semiprime quasi-ideals in semigroups

Information Sciences, 1993
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Localization of Right Noetherian Rings at Semiprime Ideals

Canadian Journal of Mathematics, 1974
In [11] and [12] we investigated the process of localization of right Noetherian rings R at prime ideals. We shall now extend these investigations to semiprime ideals N of R.In Section 2 we show that localizing at the injective right R-module E(R/N) is the same as localizing with respect to the multiplicative ...
Lambek, J., Michler, G.
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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.
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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
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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
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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:
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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 ...
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Prime and Semiprime Ideals in Semirings

1999
As in the case of rings, an ideal I of a semiring R is prime if and only if whenever H K ⊆ I, for ideals H and K of R, we must have either H ⊆ I or K ⊆ I. The set of all prime ideals of a semiring R is called the spectrum of R and will be denoted by spec(R).
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Derivations on Lie ideals in semiprime rings

Rendiconti del Circolo Matematico di Palermo, 1985
The purpose of this note is to prove that if \(R\) is a 2-torsion free semiprime ring with a derivation \(D\) and Lie ideal \(U\) satisfying \(D^ 2(U)=0\), then \(D(U)\) is in the center of \(R\).
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Radicals and semiprime ideals in semigroups

Acta Mathematica Academiae Scientiarum Hungaricae, 1977
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