Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Serial rings and their generalizations
Authors: Vladimir Kirichenko, Makar Plakhotnyk
– 0.29 Mb
Abstract
We give a survey of results on the theory of semiprime semidistributive rings, in particular, serial rings. Besides this we prove that a serial ring is Artinian if and only if some power of its Jacobson radical is zero. Also we prove that a serial ring is Noetherian if and only if the intersection of all powers of Jacobson radical is zero. These two theorems hold for semiperfect semidistributive rings.E-mail: ,
Fulltext
– 0.29 Mb
Contents
- Serial rings and their generalizations
- Reconstruction of centrally symmetric convex bodies in Rn
- On the structure of maximal non-finitely generated ideals of ring and Cohen's theorem
- On 2-primal Ore extensions over Noetherian σ(*)-rings
- Free topological universal algebras and absolute neighborhood retracts
- On the instability of solutions of seventh order nonlinear delay differential equations
- Algorithms for Determining the State-Time Probabilities and the Limit Matrix in Markov Chains
- On stability radius of the multicriteria variant of Markowitz's investment portfolio problem
