On units in commutative group rings

1982 ◽  
Vol 38 (1) ◽  
pp. 420-422 ◽  
Author(s):  
G. Karpilovsky
Keyword(s):  
Commutative Group ◽  
Group Rings

Commutative nil clean group rings

2015 ◽  
Vol 14 (06) ◽  
pp. 1550094 ◽  
Author(s):  
Warren Wm. McGovern ◽  
Shan Raja ◽  
Alden Sharp
Keyword(s):  
Commutative Group ◽  
University Of California ◽  
Short Paper ◽  
Group Rings ◽  
Clean Rings ◽  
Clean Ring ◽  
Nil Clean Ring

In [A. J. Diesl, Classes of strongly clean rings, Ph.D. Dissertation, University of California, Berkely (2006); Nil clean rings, J. Algebra383 (2013) 197–211], a nil clean ring was defined as a ring for which every element is the sum of a nilpotent and an idempotent. In this short paper, we characterize nil clean commutative group rings.

scholarly journals Prime ideals and localization in commutative group rings

1975 ◽  
Vol 34 (2) ◽  
pp. 300-308 ◽  
Author(s):  
J.W Brewer ◽  
D.L Costa ◽  
E.L Lady
Keyword(s):  
Commutative Group ◽  
Prime Ideals ◽  
Group Rings

Idempotent Units of Commutative Group Rings

2010 ◽  
Vol 38 (12) ◽  
pp. 4649-4654 ◽  
Author(s):  
Peter Danchev
Keyword(s):  
Commutative Group ◽  
Group Rings

Constructing units in commutative group rings

1992 ◽  
Vol 75 (1) ◽  
pp. 5-23 ◽  
Author(s):  
Klaus Hoechsmann
Keyword(s):  
Commutative Group ◽  
Group Rings

scholarly journals Examples of clean commutative group rings

2014 ◽  
Vol 405 ◽  
pp. 168-178 ◽  
Author(s):  
Nicholas A. Immormino ◽  
Warren Wm. McGovern
Keyword(s):  
Commutative Group ◽  
Group Rings

Artin Rings with Two-Generated Ideals

1992 ◽  
Vol 35 (1) ◽  
pp. 133-135 ◽  
Author(s):  
David E. Rush
Keyword(s):  
Local Ring ◽  
Complete Intersection ◽  
Homomorphic Image ◽  
Endomorphism Ring ◽  
Commutative Group ◽  
Group Rings ◽  
One Dimensional ◽  
Intersection Ring

AbstractIt is shown that each commutative Artin local ring having each of its ideals generated by two elements is the homomorphic image of a one-dimensional local complete intersection ring which also has each of its ideals generated by two elements. It is indicated how this can be applied to show that the property that each ideal is projective over its endomorphism ring does not pass to homomorphic images, and in determining the commutative group rings with the two-generator property.

Sign in / Sign up

Export Citation Format

Share Document