Seminormality and quasinormality of group rings

DOI10.1016/0022-4049(80)90124-3zbMath0442.13008OpenAlexW2073982673MaRDI QIDQ1143446

Silvio Greco

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90124-3

zbMATH Keywords

Picard groupsQNquasinormal ringseminormal ringSN

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Picard groups (14C22) Structure of finite commutative rings (13M05) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items

Anneauxt-clos, Integral domains with Boolean \(t\)-class semigroup, Serre's problem for one-dimensional ground rings, Pic is a contracted functor, Pic\(R[X, X^{-1}\) for \(R\) a one-dimensional reduced Noetherian ring], Anodality, Constituent groups of Clifford semigroups arising from \(t\)-closure, Picard groups in Abelian group rings, On the two generator problem for the ideals of a one-dimensional ring, Remarks on quasinormal rings, A geometric interpretation of one-dimensional quasinormal rings, Rings with two-generated ideals

Cites Work

• Über die Abbildung \(\text{Pic A}\to\text{Pic A}_f\)
• Incollamenti di ideali primi e gruppi di Picard
• Zwei Bemerkungen über seminormale Ringe
• Grothendieck groups and Picard groups of abelian group rings
• Affine duality and cofiniteness
• On the joints of Hensel rings
• On the ubiquity of Gorenstein rings
• On the Geometric Interpretation of Seminormality
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