Differentiation for orders and Artinian rings.

DOI10.1023/B:ALGE.0000042182.98997.7CzbMath1103.16014MaRDI QIDQ702134

Wolfgang Rump

Publication date: 17 January 2005

Published in: Algebras and Representation Theory (Search for Journal in Brave)

zbMATH Keywords

Artinian ringsprojective latticesequivalences of categorieslattices over orderscategories of latticescategories of poset representationsdifferentiationshereditary monomorphismsinjective latticesintegral almost Abelian categoriesorders over valuation domainsweak localizations

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Preadditive, additive categories (18E05) Localization of categories, calculus of fractions (18E35)

Related Items (6)

On the apparatus of differentiation DI-DV for posets ⋮ Adjoint functors, projectivization, and differentiation algorithms for representations of partially ordered sets. ⋮ Zavadskij modules over cluster-tilted algebras of type \(\mathbb{A}\) ⋮ The category of lattices over a lattice-finite ring. ⋮ Lattice-finite rings. ⋮ CATEGORICAL DESCRIPTION OF SOME DIFFERENTIATION ALGORITHMS

This page was built for publication: Differentiation for orders and Artinian rings.