Dedekind-like behavior of rings with 2-generated ideals
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Publication:1821149
DOI10.1016/0022-4049(85)90086-6zbMath0616.13008OpenAlexW1991222032MaRDI QIDQ1821149
Roger Wiegand, Lawrence S. Levy
Publication date: 1985
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(85)90086-6
Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (31)
Ideal class semigroups of overrings ⋮ Lattices over Bass rings and graph agglomerations ⋮ Pure projective torsion free modules over Bass domains ⋮ Cancellation of finite-dimensional Noetherian modules ⋮ Commutative orders whose lattices are direct sums of ideals ⋮ Irreducible maps of commutative rings ⋮ Direct sum behavior of lattices over sigma-I rings ⋮ Ranks of indecomposable modules over one-dimensional rings ⋮ Matrix zeros of quadratic equations ⋮ Torsionfree modules over one-dimensional Noetherian rings ⋮ On the self-dual maximal Cohen-Macaulay modules ⋮ On rings whose Morita class is represented by matrix rings ⋮ Computing base extensions of ordinary abelian varieties over finite fields ⋮ Irreducible maps of commutative rings ⋮ Ideal classes of orders in quaternion algebras ⋮ A geometric setting for some properties of torsion-free modules. ⋮ Direct sums of ideals ⋮ Ranks of indecomposable modules over one-dimensional rings. II ⋮ Group structures of elementary supersingular abelian varieties over finite fields. ⋮ Computing the ideal class monoid of an order ⋮ Curve singularities of finite Cohen-Macaulay type ⋮ Direct sum cancellation for modules over one-dimensional rings ⋮ Indecomposable modules of large rank over Cohen-Macaulay local rings ⋮ Equivalent generating pairs of an ideal of a commutative ring ⋮ Integral representations of groups of square-free order ⋮ Stable isomorphism of modules over one-dimensional rings ⋮ Equivalent generating vectors of finitely generated modules over commutative rings ⋮ Stability, duality, 2-generated ideals and a canonical decomposition of modules ⋮ Computing abelian varieties over finite fields isogenous to a power ⋮ Examples of the failure of the local-global principle for similarity of matrices ⋮ Rings with two-generated ideals
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