Weak multiplication modules over a pullback of Dedekind domains

• Autorzy: S. Ebrahimi Atani , F. Farzalipour
• Języki publikacji: EN

Abstrakty

EN

Let R be the pullback, in the sense of Levy [J. Algebra 71 (1981)], of two local Dedekind domains. We classify all those indecomposable weak multiplication R-modules M with finite-dimensional top, that is, such that M/Rad(R)M is finite-dimensional over R/Rad(R). We also establish a connection between the weak multiplication modules and the pure-injective modules over such domains.

Kategorie tematyczne

• 16D70: Structure and classification (except as in ), direct sum decomposition, cancellation
• 13C13: Other special types
• 13C05: Structure, classification theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 114
• Numer: 1
• Strony: 99-112

Daty

wydano

2009

Twórcy

autor

S. Ebrahimi Atani

• Department of Mathematics, University of Guilan, P.O. Box 1914, Rasht, Iran

autor

F. Farzalipour

• Department of Mathematics, University of Guilan, P.O. Box 1914, Rasht, Iran

Identyfikatory

DOI

10.4064/cm114-1-8