Semistar-Krull and valuative dimension of integral domains

P Sahandi - Ricerche di matematica, 2009 - Springer
Given a stable semistar operation of finite type⋆ on an integral domain D, we show that it is
possible to define in a canonical way a stable semistar operation of finite type⋆[X] on the …

On Quasi-Prüfer and UMt Domains

P Sahandi - Communications in Algebra, 2014 - Taylor & Francis
In this note we show that an integral domain D of finite w-dimension is a quasi-Prüfer
domain if and only if each overring of D is aw-Jaffard domain. Similar characterizations of …

Semistar dimension of polynomial rings and Pr\"{u} fer-like domains

P Sahandi - arXiv preprint arXiv:0808.1331, 2008 - arxiv.org
Let $ D $ be an integral domain and $\star $ a semistar operation stable and of finite type on
it. In this paper we define the semistar dimension (inequality) formula and discover their …

ON S-SEMISTAR-NOETHERIAN DOMAINS

A Esmaeelnezhad, P Sahandi - International Electronic Journal of …, 2015 - dergipark.org.tr
Let D be an integral domain and S be a multiplicative subset of D. Then given a semistar
operation? on D, we introduced the S-˜?-Noetherian domains, where˜? is the stable semistar …

W-Jaffard domains in pullbacks

P Sahandi - Journal of Algebra and Its Applications, 2012 - World Scientific
In this paper we study the class of w-Jaffard domains in pullback constructions, and give
new examples of these domains. In particular we give examples to show that the two classes …

ON A SUBCLASS OF SEMISTAR GOING-DOWN DOMAINS

P Sahandi, N Shirmohammadi - International Electronic Journal of …, 2013 - dergipark.org.tr
Let D be an integral domain and let? be a semistar operation on D. In this paper, we define
the class of?-quasi-going-up domains, a notion dual to the class of?-going-down domains. It …

On quasi-Pr\"{u}fer and UM domains

P Sahandi - arXiv preprint arXiv:1109.5330, 2011 - arxiv.org
In this note we show that an integral domain $ D $ of finite $ w $-dimension is a quasi-Pr\"{u}
fer domain if and only if each overring of $ D $ is a $ w $-Jaffard domain. Similar …

[引用][C] Integral domains with a few semistar operations

A Mimouni - Journal of Algebra and Its Applications, 2023 - World Scientific
In this paper, we deal with integral domains with only a few semistar operations. Mainly, we
give complete characterizations of integral domains with exactly three (respectively, four) …