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math.RA2007
Semigroup algebras of submonoids of polycyclic-by-finite groups and maximal orders
Isabel Goffa, Eric Jespers, Jan Okninski
Necessary and sufficient conditions are given for a prime Noetherian algebra K[S] of a submonoid S of a polycyclic-by-finite group G to be a maximal order. These conditions are ent…
math.RA2007
Group identities on the units of algebraic algebras with applications to restricted enveloping algebras
Eric Jespers, David Riley, Salvatore Siciliano
An algebra is called a GI-algebra if its group of units satisfies a group identity. We provide positive support for the following two open problems. 1. Does every algebraic GI-alge…