Finitely Presented Modules Over Semihereditary Rings

DOI10.1080/00927870701353134zbMath1129.13021arXivmath/0409550OpenAlexW2151807953MaRDI QIDQ5423796

Francois Couchot

Publication date: 31 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0409550

zbMATH Keywords

semihereditary ringlocal-global ringstacked bases propertyUCS-property

Mathematics Subject Classification ID

Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (2)

Equivalent generating pairs of an ideal of a commutative ring ⋮ Equivalent generating vectors of finitely generated modules over commutative rings

Cites Work

• Unnamed Item
• Invariant factor theorem for Prüfer domains of finite character
• Pole assignability in polynomial rings, power series rings, and Prüfer domains
• Pole assignability and the invariant factor theorem in Prüfer domains and Dedekind domains
• Module equivalences: Local to global. When primitive polynomials represent units
• Rings whose finitely generated modules are direct sums of cyclics

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