A semiperfect ring is a ring over which every finitely generated left module has a projective cover. This property is left-right symmetric. Perfect ring · Examples · Semiperfect ring · Definition

4 окт. 2014 г. · Semi-perfect ring ... A ring over which every finitely-generated left (or every finitely-generated right) module has a projective covering. A ring ...

Semiperfect rings tum out to be a significant class of rings from the viewpoint of homological algebra, since they are precisely the rings whose finitely ...

complete. From Theorem 3.2, the center R of an Azuoaya algebra which is a semiperfect ring can be described in a stronger form thaD ...

THEORE 2. A semi-perfect ring R is left-perfect, respectively semi-primary, if and only if all the local rings eRe are ...

25 июл. 2021 г. · A ring R is said to be semiprimary if R/J(R) is semisimple and J(R) is nilpotent, and R is said to be semiperfect if R/J(R) is semisimple and ... socles of semiperfect rings - Mathematics Stack Exchange Lifting idempotents in semiperfect rings R modulo ideals other ... Другие результаты с сайта math.stackexchange.com

7 июл. 2017 г. · Definition. A ring R R of characteristic p p is said to be perfect if the Frobenius map ϕ : R → R \phi: R \to R is an isomorphism.

The present paper aims at studying a wider class of rings, namely semiperfect rings ... Let R be a semiperfect ring. The group R* is abelian if and only if R is a.

In 1963, Gilmer characterized all finite commutative rings with a cyclic group of units and, in 1967, Eldridge and Fischer.