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Papers by Eric Jespers

Research paper thumbnail of Asano-orders and graded rings

Communications in Algebra, 1985

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Research paper thumbnail of Monoids of I-type

Springer eBooks, Mar 14, 2007

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Research paper thumbnail of Semigroup Graded Rings and Jacobson Rings

Springer eBooks, 1990

We study when some graded rings are Jacobson rings. In particular we obtain that rings strongly g... more We study when some graded rings are Jacobson rings. In particular we obtain that rings strongly graded either by a polycyclic-by-finite group, or by an abelian group of finite torsion free rank are Jacobson rings in case the identity component is a left Noetherian Jacobson ring. For monoid rings R[S] of abelian monoids of finite rank the same result holds without R being left Noetherian.

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Research paper thumbnail of Algebras of submonoids of polycyclic-by-finite groups

Springer eBooks, Mar 14, 2007

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Research paper thumbnail of Finitely generated algebras defined by homogeneous quadratic monomial relations and their underlying monoids

Journal of Algebra, Oct 1, 2015

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Research paper thumbnail of On a class of Noetherian algebras

Proceedings, 1999

A class of Noetherian semigroup algebrasK[S]is described. In particular, we show that, for any su... more A class of Noetherian semigroup algebrasK[S]is described. In particular, we show that, for any submonoidSof the semigroupMnof all monomialn × nmatrices over a polycyclic-by-finite groupG, K[S]is right Noetherian if and only ifSsatisfies the ascending chain condition on right ideals. This is then used to prove that every prime homomorphic image of a semigroup algebra of a finitely generated Malcev nilpotent semigroupSsatisfying the ascending chain condition on right ideals is left and right Noetherian.

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Research paper thumbnail of Semigroup Algebras and Noetherian Maximal Orders

Journal of Algebra, Apr 1, 2001

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Research paper thumbnail of A general notion of noncommutative Krull rings

Journal of Algebra, Feb 1, 1988

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Research paper thumbnail of Factorizations of skew braces

Mathematische Annalen, Sep 20, 2019

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Research paper thumbnail of Maximal orders and Noetherian semigroup algebras

Springer eBooks, Mar 14, 2007

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Research paper thumbnail of Primes of height one and a class of Noetherian finitely presented algebras

arXiv (Cornell University), Sep 28, 2006

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Research paper thumbnail of Noetherian Semigroup Algebras

Bulletin of The London Mathematical Society, May 31, 2006

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Research paper thumbnail of Integral group rings of torsion-free polycyclic-by- finite groups are maximal orders

Communications in Algebra, 1985

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Research paper thumbnail of A Description of the Jacobsen Radical of Semigroup Rings of Commutative Semigroups

North-holland Mathematics Studies, 1986

Abstract The aim of this paper is to give a review of the results concerning the description of t... more Abstract The aim of this paper is to give a review of the results concerning the description of the Jacobson radical of semigroup rings of commutative semigroups. As an application we study when such semigroup rings are semilocal or local. In the final section we show that the results on the Jacobson radical are also valid for other concrete radicals.

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Research paper thumbnail of The jacobson radical or semigroup ringb of commutative cancellative

Communications in Algebra, 1984

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Research paper thumbnail of 12. Exceptional simple components

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Research paper thumbnail of Integral group ring of the first Janko simple group

arXiv (Cornell University), Aug 17, 2006

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Research paper thumbnail of Finite idempotent set-theoretic solutions of the Yang--Baxter equation

arXiv (Cornell University), Dec 14, 2022

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Research paper thumbnail of Group ring groups: Vol2: Structure theorems of unit groups

De Gruyter, 2015

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Research paper thumbnail of Group Ring Groups: Vol 1: Orders and Generic Constructions of Units

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Research paper thumbnail of Asano-orders and graded rings

Communications in Algebra, 1985

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Research paper thumbnail of Monoids of I-type

Springer eBooks, Mar 14, 2007

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Research paper thumbnail of Semigroup Graded Rings and Jacobson Rings

Springer eBooks, 1990

We study when some graded rings are Jacobson rings. In particular we obtain that rings strongly g... more We study when some graded rings are Jacobson rings. In particular we obtain that rings strongly graded either by a polycyclic-by-finite group, or by an abelian group of finite torsion free rank are Jacobson rings in case the identity component is a left Noetherian Jacobson ring. For monoid rings R[S] of abelian monoids of finite rank the same result holds without R being left Noetherian.

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Research paper thumbnail of Algebras of submonoids of polycyclic-by-finite groups

Springer eBooks, Mar 14, 2007

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Research paper thumbnail of Finitely generated algebras defined by homogeneous quadratic monomial relations and their underlying monoids

Journal of Algebra, Oct 1, 2015

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Research paper thumbnail of On a class of Noetherian algebras

Proceedings, 1999

A class of Noetherian semigroup algebrasK[S]is described. In particular, we show that, for any su... more A class of Noetherian semigroup algebrasK[S]is described. In particular, we show that, for any submonoidSof the semigroupMnof all monomialn × nmatrices over a polycyclic-by-finite groupG, K[S]is right Noetherian if and only ifSsatisfies the ascending chain condition on right ideals. This is then used to prove that every prime homomorphic image of a semigroup algebra of a finitely generated Malcev nilpotent semigroupSsatisfying the ascending chain condition on right ideals is left and right Noetherian.

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Research paper thumbnail of Semigroup Algebras and Noetherian Maximal Orders

Journal of Algebra, Apr 1, 2001

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Research paper thumbnail of A general notion of noncommutative Krull rings

Journal of Algebra, Feb 1, 1988

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Research paper thumbnail of Factorizations of skew braces

Mathematische Annalen, Sep 20, 2019

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Research paper thumbnail of Maximal orders and Noetherian semigroup algebras

Springer eBooks, Mar 14, 2007

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Research paper thumbnail of Primes of height one and a class of Noetherian finitely presented algebras

arXiv (Cornell University), Sep 28, 2006

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Research paper thumbnail of Noetherian Semigroup Algebras

Bulletin of The London Mathematical Society, May 31, 2006

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Research paper thumbnail of Integral group rings of torsion-free polycyclic-by- finite groups are maximal orders

Communications in Algebra, 1985

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Research paper thumbnail of A Description of the Jacobsen Radical of Semigroup Rings of Commutative Semigroups

North-holland Mathematics Studies, 1986

Abstract The aim of this paper is to give a review of the results concerning the description of t... more Abstract The aim of this paper is to give a review of the results concerning the description of the Jacobson radical of semigroup rings of commutative semigroups. As an application we study when such semigroup rings are semilocal or local. In the final section we show that the results on the Jacobson radical are also valid for other concrete radicals.

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Research paper thumbnail of The jacobson radical or semigroup ringb of commutative cancellative

Communications in Algebra, 1984

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Research paper thumbnail of 12. Exceptional simple components

Bookmarks Related papers MentionsView impact

Research paper thumbnail of Integral group ring of the first Janko simple group

arXiv (Cornell University), Aug 17, 2006

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Research paper thumbnail of Finite idempotent set-theoretic solutions of the Yang--Baxter equation

arXiv (Cornell University), Dec 14, 2022

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Research paper thumbnail of Group ring groups: Vol2: Structure theorems of unit groups

De Gruyter, 2015

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Research paper thumbnail of Group Ring Groups: Vol 1: Orders and Generic Constructions of Units

Bookmarks Related papers MentionsView impact

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