Distributive homomorphisms of rings and modules.
Diversity in inside factorial monoids
In a recent paper (Diversity in Monoids, Czech. Math. J. 62 (2012), 795–809), the last two authors introduced and developed the monoid invariant “diversity” and related properties “homogeneity” and “strong homogeneity”. We investigate these properties within the context of inside factorial monoids, in which the diversity of an element counts the number of its different almost primary components. Inside factorial monoids are characterized via diversity and strong homogeneity. A new invariant complementary...
Diversity in monoids
Let be a (commutative cancellative) monoid. A nonunit element is called almost primary if for all , implies that there exists such that or . We introduce a new monoid invariant, diversity, which generalizes this almost primary property. This invariant is developed and contextualized with other monoid invariants. It naturally leads to two additional properties (homogeneity and strong homogeneity) that measure how far an almost primary element is from being primary. Finally, as an application...
Divisors in a Dedekind domain
Dubrovnic, Valuation Rings and Henselization.
Dunkl operators and canonical invariants of reflection groups.
Effective Nullstellensatz and geometric degree for zero-dimensional ideals
Efficient generation of zero dimensional ideals in polynomial rings.
Ein Beweis des Hilbertschen Basissatzes.
Eine Anwendung des Selbergschen Siebes auf algebraische Zahlkörper
Einige Eigenschaften der Parameterideale und ihre Anwendungen für Buchsbaum Ringe
El Espectro Y La Dimension De Anillos En El Algebra Sobre Un Topos.
Elasticity in certain block monoids via the Euclidean table
Elasticity of A + XB[X] when A ⊂ B is a minimal extension of integral domains
We investigate the elasticity of atomic domains of the form ℜ = A + XB[X], where X is an indeterminate, A is a local domain that is not a field, and A ⊂ B is a minimal extension of integral domains. We provide the exact value of the elasticity of ℜ in all cases depending the position of the maximal ideals of B. Then we investigate when such domains are half-factorial domains.
Eliminating Wild Ramification.
Equivalent Categories of Divisible Modules.
Erratum à l'article „Sur les systèmes complets de restes modulo les idéaux d'un corps de nombres" Acta Arithmetica 22 (1972), pp. 49-56
Erratum to: "C(X) vs. C(X) modulo its socle" (Colloq. Math. 111 (2008), 315-336)
Erratum to : “The finite free extension of artinian -algebras with the strong Lefschetz property” [Rend. Sem. Mat. Univ. Padova 110 (2003), 119–146]
Erratum to -primary ideals of a commutative ring