نتایج جستجو برای: semistar operation

تعداد نتایج: 211765  

2013
Paul-Jean Cahen Marco Fontana Sophie Frisch Sarah Glaz

This article consists of a collection of open problems in commutative algebra. The collection covers a wide range of topics from both Noetherian and non-Noetherian ring theory and exhibits a variety of research approaches, including the use of homological algebra, ring theoretic methods, and star and semistar operation techniques. The problems were contributed by the authors and editors of this...

2007
A. MIMOUNI

This paper studies the notions of star and semistar operations over a polynomial ring. It aims at characterizing when every upper to zero in R[X] is a ∗-maximal ideal and when a ∗-maximal ideal Q of R[X] is extended from R, that is, Q = (Q ∩ R)[X] with Q ∩R 6= 0, for a given star operation of finite character ∗ on R[X]. We also answer negatively some questions raised by Anderson-Clarke by const...

Journal: :Communications in Algebra 2022

We introduce and study the set of radical semistar operations an integral domain D. show that their is a complete lattice join-completion spectral operations, we characterize when every operation (under hypothesis D rad-colon coherent). When Prüfer such minimal prime ideals scattered, completely classify stable operations.

Journal: :Journal of Pure and Applied Algebra 2004

Journal: :Advances in Pure and Applied Mathematics 2023

Journal: :International Electronic Journal of Algebra 2015

Journal: :Mathematical journal of Ibaraki University 2003

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