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Valuations and group algebras

Ulrich Albrecht, Günter Törner (1998)

Rendiconti del Seminario Matematico della Università di Padova

Valuations and Semi-Valuations of Graded Domains.

David F. Anderson, Jack Ohm (1981)

Mathematische Annalen

Vector invariant ideals of abelian group algebras under the actions of the unitary groups and orthogonal groups

Lingli Zeng, Jizhu Nan (2016)

Czechoslovak Mathematical Journal

Let $F$ be a finite field of characteristic $p$ and $K$ a field which contains a primitive $p$ th root of unity and $char K \neq p$ . Suppose that a classical group $G$ acts on the $F$ -vector space $V$ . Then it can induce the actions on the vector space $V \oplus V$ and on the group algebra $K [V \oplus V]$ , respectively. In this paper we determine the structure of $G$ -invariant ideals of the group algebra $K [V \oplus V]$ , and establish the relationship between the invariant ideals of $K [V]$ and the vector invariant ideals of $K [V \oplus V]$ , if $G$ is a unitary group or orthogonal group....

Verallgemeinerte Fasersummen von unzerlegbaren Moduln.

Wolfgang Müller (1981)

Mathematische Annalen

Von Neumann regular rings and the Whitehead property of modules

Jan Trlifaj (1990)

Commentationes Mathematicae Universitatis Carolinae