نتایج جستجو برای: Prime-rings
تعداد نتایج: 90067 فیلتر نتایج به سال:
in this paper we focus on a special class of commutative local rings called spap-rings and study the relationship between this class and other classes of rings. we characterize the structure of modules and especially, the prime submodules of free modules over an spap-ring and derive some basic properties. then we answer the question of lam and reyes about strongly oka ideals fam...
a polynomial 1 2 ( , , , ) n f x x x is called multilinear if it is homogeneous and linear in every one of its variables. in the present paper our objective is to prove the following result: let r be a prime k-algebra over a commutative ring k with unity and let 1 2 ( , , , ) n f x x x be a multilinear polynomial over k. suppose that d is a nonzero derivation on r such that ...
for a fixed positive integer , we say a ring with identity is n-generalized right principally quasi-baer, if for any principal right ideal of , the right annihilator of is generated by an idempotent. this class of rings includes the right principally quasi-baer rings and hence all prime rings. a certain n-generalized principally quasi-baer subring of the matrix ring are studied, and connections...
The aim of this paper is to generalize thenotion of pseudo-almost valuation domains to arbitrary commutative rings. It is shown that the classes of chained rings and pseudo-valuation rings are properly contained in the class of pseudo-almost valuation rings; also the class of pseudo-almost valuation rings is properly contained in the class of quasi-local rings with linearly ordere...
In this paper, we introduce a new generalization of weakly prime ideals called $I$-prime. Suppose $R$ is a commutative ring with identity and $I$ a fixed ideal of $R$. A proper ideal $P$ of $R$ is $I$-prime if for $a, b in R$ with $ab in P-IP$ implies either $a in P$ or $b in P$. We give some characterizations of $I$-prime ideals and study some of its properties. Moreover, we give conditions ...
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