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Group algebras
Authors:Inder Bir S Passi
Institution:1.Centre for Advanced Study in Mathematics,Panjab University,Chandigarh,India;2.Indian Institute of Science Education and Research,Mohali,India
Abstract:Given a group G and a commutative ring k with identity, one can define an k-algebra kG] called the group algebra of G over k. An element αkG] is said to be algebraic if f(α) = 0 for some non-zero polynomial f(X) ∈ kX]. We will discuss some of the developments in the study of algebraic elements in group algebras.
Keywords:
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