Some remarks on Prüfer modules

• Autorzy: S. Ebrahimi Atani , S. Dolati Pishhesari , M. Khoramdel
• Języki publikacji: EN

Abstrakty

EN

We provide several characterizations and investigate properties of Prüfer modules. In fact, we study the connections of such modules with their endomorphism rings. We also prove that for any Prüfer module M, the forcing linearity number of M, fln(M), belongs to {0,1}.

Słowa kluczowe

EN

Prüfer modules; Prüfer domains; invertible submodules; duo modules; forcing linearity number

Kategorie tematyczne

• 13C13: Other special types
• 13F05: Dedekind, Pr\"ufer, Krull and Mori rings and their generalizations
• 13C10: Projective and free modules and ideals

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 121-128

Daty

wydano

2013

otrzymano

2012-04-28

poprawiono

2013-06-16

Twórcy

autor

S. Ebrahimi Atani

• Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914 Rasht, Iran

autor

S. Dolati Pishhesari

• Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914 Rasht, Iran

autor

M. Khoramdel

• Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914 Rasht, Iran

Bibliografia

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Identyfikatory

DOI

10.7151/dmgaa.1201