A common theme throughout algebra is the extension of arithmetic systems to ones over which new equations can be solved. For instance, someone who knows only positive numbers might think that there is no solution to x + 3 = 0, yet later learns x = -3 to be a feasible solution. Likewise, when faced with the equation 2x = 3, someone familiar only with integers may declare that there is no solution, but may later learn that x = 3/2 is a reasonable answer. Many eventually learn that the extension of real numbers to complex numbers unlocks solutions to previously unsolvable equations, such as x2 = -1. In algebra, a ring is, roughly speaking, any arithmetic system in which addition and multiplication behave reasonably , while a homomorphism is a...
The study of rings plays a vital role within abstract algebra, as well as in other mathematics topic...
In this paper we construct a category of effective noetherian rings in which linear equations can be...
Given a noether algebra with a noncommutative resolution, a general construction of new noncommutati...
A common theme throughout algebra is the extension of arithmetic systems to ones over which new equa...
In this paper we consider an alternative to Ore localization at a semiprime ideal S of a left Noethe...
This paper discuses localization, one of the most important concepts in commutative algebra. A proce...
We study different types of localizations of a commutative noetherian ring. More precisely, we provi...
AbstractExamples are given to show that Goldie's localization at a prime ideal need not be Noetheria...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
This book contains the doctoral dissertations of three students from Novosibirsk who participated in...
The noncommutative (Cohn) localization (sigma)^−1 R of a ring R is defined for any collection (sigm...
Let R be a ring, let F be a free group, and let X be a basis of F. Let : RF → R denote the usual au...
this paper demonstrates one possible way to represent a finitely presented algebra S in a similarly ...
The primary objective of this thesis is to present a unified account of the various generalizations ...
AbstractLet G be a finite group acting on a polynomial ring A over the field K and let AG denote the...
The study of rings plays a vital role within abstract algebra, as well as in other mathematics topic...
In this paper we construct a category of effective noetherian rings in which linear equations can be...
Given a noether algebra with a noncommutative resolution, a general construction of new noncommutati...
A common theme throughout algebra is the extension of arithmetic systems to ones over which new equa...
In this paper we consider an alternative to Ore localization at a semiprime ideal S of a left Noethe...
This paper discuses localization, one of the most important concepts in commutative algebra. A proce...
We study different types of localizations of a commutative noetherian ring. More precisely, we provi...
AbstractExamples are given to show that Goldie's localization at a prime ideal need not be Noetheria...
In the standard theory of localization of a commutative Noetherian ring R at a prime ideal P, it is ...
This book contains the doctoral dissertations of three students from Novosibirsk who participated in...
The noncommutative (Cohn) localization (sigma)^−1 R of a ring R is defined for any collection (sigm...
Let R be a ring, let F be a free group, and let X be a basis of F. Let : RF → R denote the usual au...
this paper demonstrates one possible way to represent a finitely presented algebra S in a similarly ...
The primary objective of this thesis is to present a unified account of the various generalizations ...
AbstractLet G be a finite group acting on a polynomial ring A over the field K and let AG denote the...
The study of rings plays a vital role within abstract algebra, as well as in other mathematics topic...
In this paper we construct a category of effective noetherian rings in which linear equations can be...
Given a noether algebra with a noncommutative resolution, a general construction of new noncommutati...