Module types

DOI10.1216/rmjm/1181071924zbMath0896.16007OpenAlexW4243328663MaRDI QIDQ1382726

John Dauns

Publication date: 5 October 1998

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL27-2/CONT27-2/CONT27-2.html

zbMATH Keywords

contravariant functorsessential submodulesinjective hullsdirect sum decompositionsnonsingular modulescategories of Boolean latticescategories of ringscomplete Boolean latticessaturated classes of modulesuniversal saturated classes

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80)

Related Items

Lattices of classes of modules, Natural Classes, Left Exact Preradicals, and Flat Epimorphisms, Rings whose proper (principal) right ideals are strongly compressible, On type-ADS modules and rings, Goldie dimensions of quotient modules, ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD, Ideals, Natural Classes, and Functors, On Disjoint Sets of Natural Classes, NATURAL CLASSES AND TORSION THEORIES, Type submodules and direct sum decompositions of modules., Decomposing modules into direct sums of submodules with types, Sublattices of the lattice of pre-natural classes of modules, On some classes ofR-modules and congruences inR-tors

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