4 papers
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…
Normal domains with monomial presentations
Isabel Goffa, Eric Jespers, Jan Okninski
Let A be a finitely generated commutative algebra over a field K with a presentation A=K < X_{1}, ..., X_{n} | R >, where R is a set of monomial relations in the generators X_{1},…
Primes of height one and a class of Noetherian finitely presented algebras
Isabel Goffa, Eric Jespers, Jan Okninski
Constructions are given of Noetherian maximal orders that are finitely presented algebras over a field K, defined by monomial relations. In order to do this, it is shown that the u…
Monoids of IG-type and Maximal Orders
Isabel Goffa, Eric Jespers
Let G be a finite group that acts on an abelian monoid A. If f: A -> G is a map so that f(a f(a)(b)) = f(a)f(b), for all a, b in A, then the submonoid S = {(a, f(a)) | a in A} of t…