AbstractCriteria are obtained for the localizability of a Noetherian ring at a semiprime ideal S, particularly when S is the nil radical of R. The results are applied to the existence of quotient rings. A decomposition theorem is obtained for certain Noetherian rings which admit Artinian quotient rings
AbstractLetAbe the Artin radical of a Noetherian ringRof global dimension two. We show thatA=ReRwher...
In the paper, we introduce the notion of a nondistributive ring N as a generalization of the notion ...
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
AbstractCriteria are obtained for the localizability of a Noetherian ring at a semiprime ideal S, pa...
This paper discuses localization, one of the most important concepts in commutative algebra. A proce...
In this paper we consider an alternative to Ore localization at a semiprime ideal S of a left Noethe...
In this paper we construct a category of effective noetherian rings in which linear equations can be...
Three topics in localization theory and group ring theory are investigated. In Chapter I, it is pro...
Abstract. We study the problem asking which ideals in Noetherian rings have the Artin-Rees property,...
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
AbstractThis paper examines localization for a collection L of minimal prime ideals of a right noeth...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
AbstractExamples are given to show that Goldie's localization at a prime ideal need not be Noetheria...
AbstractThe main aim of this paper is to better understand the localization technique for certain No...
Let A be the Artin radical of a Noetherian ring R of global dimension two. We show that A = ReR wher...
AbstractLetAbe the Artin radical of a Noetherian ringRof global dimension two. We show thatA=ReRwher...
In the paper, we introduce the notion of a nondistributive ring N as a generalization of the notion ...
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
AbstractCriteria are obtained for the localizability of a Noetherian ring at a semiprime ideal S, pa...
This paper discuses localization, one of the most important concepts in commutative algebra. A proce...
In this paper we consider an alternative to Ore localization at a semiprime ideal S of a left Noethe...
In this paper we construct a category of effective noetherian rings in which linear equations can be...
Three topics in localization theory and group ring theory are investigated. In Chapter I, it is pro...
Abstract. We study the problem asking which ideals in Noetherian rings have the Artin-Rees property,...
AbstractA criterion is presented which is easy to check in specific examples and provides informatio...
AbstractThis paper examines localization for a collection L of minimal prime ideals of a right noeth...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
AbstractExamples are given to show that Goldie's localization at a prime ideal need not be Noetheria...
AbstractThe main aim of this paper is to better understand the localization technique for certain No...
Let A be the Artin radical of a Noetherian ring R of global dimension two. We show that A = ReR wher...
AbstractLetAbe the Artin radical of a Noetherian ringRof global dimension two. We show thatA=ReRwher...
In the paper, we introduce the notion of a nondistributive ring N as a generalization of the notion ...
AbstractWe give a new constructive definition for Noetherian rings. It has a very concrete statement...
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