A general theory of Fountain-Gould quotient rings
A note on Jordan rings of quotients
An observation on Krull and derived dimensions of some topological lattices
Let , be an algebraic lattice. It is well-known that with its topological structure is topologically scattered if and only if is ordered scattered with respect to its algebraic structure. In this note we prove that, if is a distributive algebraic lattice in which every element is the infimum of finitely many primes, then has Krull-dimension if and only if has derived dimension. We also prove the same result for , the set of all prime elements of . Hence the dimensions on the lattice...
Associative and Lie algebras of quotients.
Classical quotient rings of generalized matrix rings.
Embedding torsionless modules in projectives.
In this paper we study a condition right FGTF on a ring R, namely when all finitely generated torsionless right R-modules embed in a free module. We show that for a von Neuman regular (VNR) ring R the condition is equivalent to every matrix ring Rn is a Baer ring; and this is right-left symmetric. Furthermore, for any Utumi VNR, this can be strengthened: R is FGTF iff R is self-injective.
Noncommutative graded domains with quadratic.
Non-commutative rings of fractions in algebraical approach to control theory
On the Embedding of topological domains into quotient fields.
Prime PI-rights in which finitely generated right ideals are principal.
Prüfer rings with involution
The concept of a Prüfer ring is studied in the case of rings with involution such that it coincides with the corresponding notion in the case of commutative rings.
Quantum sections and Gauge algebras.
Using quantum sections of filtered rings and the associated Rees rings one can lift the scheme structure on Proj of the associated graded ring to the Proj of the Rees ring. The algebras of interest here are positively filtered rings having a non-commutative regular quadratic algebra for the associated graded ring; these are the so-called gauge algebras obtaining their name from special examples appearing in E. Witten's gauge theories. The paper surveys basic definitions and properties but concentrates...
Valuations and group algebras
Достаточные условия существования левого кольца частных для кольца, разложенного в прямую сумму левых идеалов
Инъективные минимальные модули
Классические кольца частных полупервичных PI-колец
Кольца частных.
Некоммутативные прюферовы кольца