Direct-sum decompositions of modules with semilocal endomorphism rings.

DOI10.1016/j.jalgebra.2003.06.004zbMath1094.20036OpenAlexW2029739006MaRDI QIDQ1883014

Alberto Facchini, Roger Wiegand

Publication date: 1 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.06.004

zbMATH Keywords

finitely generated projective modulesKrull monoidscancellative monoidsmonoid homomorphismsrealizations of semilocal endomorphism rings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Commutative semigroups (20M14) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Mappings of semigroups (20M15)

Related Items (13)

Lattices over Bass rings and graph agglomerations ⋮ A realization result for systems of sets of lengths ⋮ On Monoids and Domains Whose Monadic Submonoids Are Krull ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ The Krull-Schmidt theorem in the case two. ⋮ Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules ⋮ MAXIMAL IDEALS IN PREADDITIVE CATEGORIES AND SEMILOCAL CATEGORIES ⋮ Direct-sum decompositions of modules with semilocal endomorphism rings ⋮ A realization theorem for sets of distances ⋮ Direct summands of direct sums of modules whose endomorphism rings have two maximal right ideals. ⋮ Factorization theory in commutative monoids ⋮ A characterization of length-factorial Krull monoids ⋮ A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems

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