Displaying similar documents to “Some remarks on normal property of graded subalgebras of polynomial rings.”

On Ordinary and Z2-graded Polynomial Identities of the Grassmann Algebra

Ribeiro Tomaz da Silva, Viviane (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: Primary: 16R10, Secondary: 16W55. The main purpose of this paper is to provide a survey of results concerning the ordinary and Z2-graded polynomial identities of the infinite dimensional Grassmann algebra over a field of characteristic zero, as well as of its sequences of ordinary and Z2-graded codimensions and cocharacters. We also intend to describe briefly the techniques used by the authors in order to illustrate some important...

Induced modules of strongly group-graded algebras

Th. Theohari-Apostolidi, H. Vavatsoulas (2007)

Colloquium Mathematicae

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Various results on the induced representations of group rings are extended to modules over strongly group-graded rings. In particular, a proof of the graded version of Mackey's theorem is given.