منابع مشابه
Semistar dimension of polynomial rings and Prufer-like domains
Let $D$ be an integral domain and $star$ a semistar operation stable and of finite type on it. We define the semistar dimension (inequality) formula and discover their relations with $star$-universally catenarian domains and $star$-stably strong S-domains. As an application, we give new characterizations of $star$-quasi-Pr"{u}fer domains and UM$t$ domains in terms of dimension inequal...
متن کاملsemistar dimension of polynomial rings and prufer-like domains
let $d$ be an integral domain and $star$ a semistar operation stable and of finite type on it. we define the semistar dimension (inequality) formula and discover their relations with $star$-universally catenarian domains and $star$-stably strong s-domains. as an application, we give new characterizations of $star$-quasi-pr"{u}fer domains and um$t$ domains in terms of dimension ine...
متن کاملTW-domains and Strong Mori domains
In this paper we are mainly concerned with TW -domains, i.e., domains in which the wand t-operations coincide. Precisely, we investigate possible connections with related well-known classes. We characterize the TW -property in terms of divisoriality for Mori domains and Noetherian domains. Speci5cally, we prove that a Mori domain R is a TW -domain if and only if RM is a divisorial domain for ea...
متن کاملA Note on the Cancellation Properties of Semistar Operations
If D is an integral domain with quotient field K, then let F̄(D) be the set of non-zero D-submodules of K, F(D) be the set of non-zero fractional ideals of D and f(D) be the set of non-zero finitely generated D-submodules of K. A semistar operation ? on D is called arithmetisch brauchbar (or a.b.) if, for every H ∈ f(D) and every H1, H2 ∈ F̄(D), (HH1) ? = (HH2) ? implies H 1 = H ? 2 , and ? is ca...
متن کاملThe semistar operations on certain Prüfer domain, II
Let D be a 1-dimensional Prüfer domain with exactly two maximal ideals. We completely determine the star operations and the semistar operations on D. Let G be a torsion-free abelian additive group. If G is not discrete, G is called indiscrete. If every non-empty subset S of G which is bounded below has its infimum inf(S) in G, then G is called complete. If G is not complete, G is called incompl...
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: Mathematical journal of Ibaraki University
سال: 2004
ISSN: 1883-4353,1343-3636
DOI: 10.5036/mjiu.36.45