ALMOST SPLITTING SETS S OF AN INTEGRAL DOMAIN D SUCH THAT DSIS A PID
نویسندگان
چکیده
منابع مشابه
Almost Splitting Sets and Agcd Domains
Let D be an integral domain. A multiplicative set S of D is an almost splitting set if for each 0 6= d ∈ D, there exists an n = n(d) with dn = st where s ∈ S and t is v-coprime to each element of S. An integral domain D is an almost GCD (AGCD) domain if for every x, y ∈ D, there exists a positive integer n = n(x, y) such that xnD ∩ ynD is a principal ideal. We prove that the polynomial ring D[X...
متن کاملT-splitting Multiplicative Sets of Ideals in Integral Domains
Let D be an integral domain. We study those multiplicative sets of ideals S of D with the property that every nonzero principal ideal dD of D can be written as dD = (AB)t with A, B ideals of D such that A contains some ideal in S and (C + B)t = D for each C ∈ S . Let D be an integral domain with quotient Þeld K and let F (D) be the set of nonzero fractional ideals of D. Clearly, for A ∈ F (D), ...
متن کاملA radical extension of the category of $S$-sets
Let S-Set be the category of $S$-sets, sets together with the actions of a semigroup $S$ on them. And, let S-Pos be the category of $S$-posets, posets together with the actions compatible with the orders on them. In this paper we show that the category S-Pos is a radical extension of S-Set; that is there is a radical on the category S-Pos, the order desolator radical, whose torsion-free class i...
متن کاملEXAM-S: an Analysis tool for Multi-Domain Policy Sets
As distributed collaborative applications and architectures are adopting policy based management for tasks such as access control, network security and data privacy, the management and consolidation of a large number of policies is becoming a crucial component of such policy based systems. In large-scale distributed collaborative applications like web services, there is the need of analyzing po...
متن کاملLK-INTERIOR SYSTEMS AS SYSTEMS OF “ALMOST OPEN” L-SETS
We study interior operators and interior structures in a fuzzy setting.We investigate systems of “almost open” fuzzy sets and the relationshipsto fuzzy interior operators and fuzzy interior systems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Korean Journal of Mathematics
سال: 2011
ISSN: 1976-8605
DOI: 10.11568/kjm.2011.19.2.163