AbstractA ring Λ is said to be coherent when the category of finitely presented Λ-modules is abelian; otherwise it is said to be incoherent. We show that if G is a group which contains a direct product of nonabelian free groups then the integral group ring Z[G] satisfies a strong form of incoherence, the infinite kernel property
We restrict the types of 2×2-matrix rings which can occur as simple components in the Wedderburn dec...
A commutative ring is called coherent if the intersection of any two finitely generated ideals is fi...
AbstractLet G be a finite group and O a complete discrete valuation ring of characteristic zero with...
AbstractA ring Λ is said to be coherent when the category of finitely presented Λ-modules is abelian...
AbstractWe explore a weakening of the coherence property of discrete groups studied by F. Waldhausen...
AbstractTo say that a commutative ring R with unit is coherent amounts to saying, in case R has no d...
AbstractWe provide a large class of coherent domains whose rings of formal power series are not cohe...
We relate the notions of Noetherian, regular coherent and regular $n$-coherent category for $\mathbb...
AbstractThe main result is that the ring of polynomials in any number of variables over a commutativ...
AbstractThe aim of this paper is to show that a finitely generated module over a Noetherian ring def...
AbstractIn the companion paper (J. Algebra 93 (1985), 1–116) all finitely generated modules over a c...
AbstractWe develop Auslander's theory of coherent functors in the case of functors on modules of fin...
AbstractWe prove that any torsion unit of the integral group ring ZG is rationally conjugate to a tr...
AbstractZassenhaus conjectured that any torsion unit in an integral group ring2Gof a finite groupGis...
AbstractTo say that a commutative ring R with unit is coherent amounts to saying, in case R has no d...
We restrict the types of 2×2-matrix rings which can occur as simple components in the Wedderburn dec...
A commutative ring is called coherent if the intersection of any two finitely generated ideals is fi...
AbstractLet G be a finite group and O a complete discrete valuation ring of characteristic zero with...
AbstractA ring Λ is said to be coherent when the category of finitely presented Λ-modules is abelian...
AbstractWe explore a weakening of the coherence property of discrete groups studied by F. Waldhausen...
AbstractTo say that a commutative ring R with unit is coherent amounts to saying, in case R has no d...
AbstractWe provide a large class of coherent domains whose rings of formal power series are not cohe...
We relate the notions of Noetherian, regular coherent and regular $n$-coherent category for $\mathbb...
AbstractThe main result is that the ring of polynomials in any number of variables over a commutativ...
AbstractThe aim of this paper is to show that a finitely generated module over a Noetherian ring def...
AbstractIn the companion paper (J. Algebra 93 (1985), 1–116) all finitely generated modules over a c...
AbstractWe develop Auslander's theory of coherent functors in the case of functors on modules of fin...
AbstractWe prove that any torsion unit of the integral group ring ZG is rationally conjugate to a tr...
AbstractZassenhaus conjectured that any torsion unit in an integral group ring2Gof a finite groupGis...
AbstractTo say that a commutative ring R with unit is coherent amounts to saying, in case R has no d...
We restrict the types of 2×2-matrix rings which can occur as simple components in the Wedderburn dec...
A commutative ring is called coherent if the intersection of any two finitely generated ideals is fi...
AbstractLet G be a finite group and O a complete discrete valuation ring of characteristic zero with...
DOI
Add to ORKG