On a category of extensions whose endomorphism rings have at most four maximal ideals

DOI10.1090/conm/715/14407zbMath1398.16026OpenAlexW2890894479MaRDI QIDQ4961943

Federico Campanini, Alberto Facchini

Publication date: 29 October 2018

Published in: Advances in Rings and Modules (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/715/14407

zbMATH Keywords

endomorphism ringsuniserial modulesmonogeny class

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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 (4)

Homomorphisms with semilocal endomorphism rings between modules ⋮ Kernels of homomorphisms between uniform quasi-injective modules ⋮ Factorizations of elements in local rings and semilocal rings of finite type ⋮ Extensions of uniserial modules

Cites Work

• Unnamed Item
• Unnamed Item
• The Krull-Schmidt theorem in the case two.
• Equivalence of diagonal matrices over local rings.
• Module theory. Endomorphism rings and direct sum decompositions in some classes of modules
• Uniqueness of monogeny classes for uniform objects in abelian categories
• Rings with several objects
• SOME REMARKS ON CATEGORIES OF MODULES MODULO MORPHISMS WITH ESSENTIAL KERNEL OR SUPERFLUOUS IMAGE
• MAXIMAL IDEALS IN PREADDITIVE CATEGORIES AND SEMILOCAL CATEGORIES
• Endomorphism Rings with Finitely Many Maximal Right Ideals
• KERNELS OF MORPHISMS BETWEEN INDECOMPOSABLE INJECTIVE MODULES
• Krull-Schmidt fails for serial modules
• On semilocal rings

This page was built for publication: On a category of extensions whose endomorphism rings have at most four maximal ideals