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

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.

On units in commutative group rings

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

scholarly journals Group rings which are v-HC orders and Krull orders

1991 ◽  
Vol 34 (2) ◽  
pp. 217-228 ◽  
Author(s):  
K. A. Brown ◽  
H. Marubayashi ◽  
P. F. Smith
Keyword(s):  
Finite Group ◽  
Group Ring ◽  
Prime Ideals ◽  
Group Rings

Let R be a ring and G a polycyclic-by-finite group. In this paper, it is determined, in terms of properties of R and G, when the group ring R[G] is a prime Krull order and when it is a price v-HC order. The key ingredient in obtaining both characterizations is the first author's earlier study of height one prime ideals in the ring R[G[.

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
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