Idealisers in skew group rings
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DOI: 10.1016/j.jalgebra.2019.06.045
Abstract: Abstract Let C be a commutative noetherian domain, G be a finitely generated abelian group which acts on C and B = C # G be the skew group ring. For a prime ideal I… read more here.
Keywords: skew group; group rings; ideal; idealisers skew ... See more keywords
On group rings of linear groups
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DOI: 10.1016/j.jpaa.2016.05.015
Abstract: Abstract Let H be a finitely generated group of matrices over a field F of characteristic zero. We consider the group ring KH of H over an arbitrary field K whose characteristic is either zero… read more here.
Keywords: linear groups; field; group; rings linear ... See more keywords
Commutative neat group rings
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DOI: 10.1080/00927872.2017.1287272
Abstract: ABSTRACT A ring R is called clean if every element of it is a sum of an idempotent and a unit. A ring R is neat if every proper homomorphic image of R is clean.… read more here.
Keywords: neat group; commutative neat; group; group rings ... See more keywords
Homological Dimensions of Skew Group Rings
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DOI: 10.1142/s1005386720000267
Abstract: Let R be a ring and let H be a subgroup of a finite group G. We consider the weak global dimension, cotorsion dimension and weak Gorenstein global dimension of the skew group ring RσG… read more here.
Keywords: homological dimensions; dimension; group; group rings ... See more keywords