ON THE LATTICES OF NATURAL AND CONATURAL CLASSES INR-MOD
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Publication:2749040
DOI10.1081/AGB-100001523zbMath0990.16008OpenAlexW2040116100MaRDI QIDQ2749040
José Ríos Montes, Alejandro Alvarado García, Hugo Alberto Rincón-Mejía
Publication date: 6 August 2002
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/agb-100001523
direct sumsatomsinjective hullsmodule categoriesleft perfect ringsskeletahereditary classeslattices of module classesleft max ringsconatural classeslattices of natural classes
Module categories in associative algebras (16D90) Other classes of modules and ideals in associative algebras (16D80)
Related Items (17)
On lattices associated to rings with respect to a preradical ⋮ The lattice structure of preradicals. III: Operators. ⋮ Natural Classes, Left Exact Preradicals, and Flat Epimorphisms ⋮ Unnamed Item ⋮ Big lattices of module classes induced by preradicals ⋮ On the lattice of conatural classes of linear modular lattices ⋮ Pseudocomplements and strong pseudocomplements in lattices of module classes ⋮ On natural sets on an idiom ⋮ Cotype dimension and cotype chain conditions ⋮ Big lattices of hereditary and natural classes of linear modular lattices ⋮ DECOMPOSING MODULES INTO DIRECT SUMS OF COTYPE SUBMODULES ⋮ ON SOME RELATIONS BETWEEN THE LATTICES R-nat, R-conat AND R-tors AND THE RINGS THEY CHARACTERIZE ⋮ Coprime preradicals and modules. ⋮ On compactness and cocompactness conditions for R-tors, R-pr and (big) lattices of classes of modules ⋮ Rings for Which the Lattice of Hereditary Torsion Theories and the Lattice of Natural Classes are Isomorphic ⋮ On retractability and its relationships with lattices associated to a ring ⋮ Operators between classes of modules given by preradicals
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