Some remarks on Prüfer modules

S. Ebrahimi Atani; S. Dolati Pishhesari; M. Khoramdel

Discussiones Mathematicae - General Algebra and Applications (2013)

  • Volume: 33, Issue: 2, page 121-128
  • ISSN: 1509-9415

Abstract

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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}.

How to cite

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S. Ebrahimi Atani, S. Dolati Pishhesari, and M. Khoramdel. "Some remarks on Prüfer modules." Discussiones Mathematicae - General Algebra and Applications 33.2 (2013): 121-128. <http://eudml.org/doc/270705>.

@article{S2013,
abstract = {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\}.},
author = {S. Ebrahimi Atani, S. Dolati Pishhesari, M. Khoramdel},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {Prüfer modules; Prüfer domains; invertible submodules; duo modules; forcing linearity number},
language = {eng},
number = {2},
pages = {121-128},
title = {Some remarks on Prüfer modules},
url = {http://eudml.org/doc/270705},
volume = {33},
year = {2013},
}

TY - JOUR
AU - S. Ebrahimi Atani
AU - S. Dolati Pishhesari
AU - M. Khoramdel
TI - Some remarks on Prüfer modules
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2013
VL - 33
IS - 2
SP - 121
EP - 128
AB - 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}.
LA - eng
KW - Prüfer modules; Prüfer domains; invertible submodules; duo modules; forcing linearity number
UR - http://eudml.org/doc/270705
ER -

References

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  14. [14] J. Sanwong, Forcing Linearity Numbers for Multiplication Modules, Comm. Alg. 34 (2006) 4591-4596. doi: 10.1080/00927870600936740. Zbl1120.16006
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