Acta Mathematica Hungarica
Volume/Issue:
Volume 119: Issue 1-2
Analogues of IBN and related properties for modules
Author:
K. Varadarajan University of Calgary Department of Mathematics and Statistics Calgary Alberta Canada T2N 1N4

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Pages:
95–125
Online Publication Date:
20 Sep 2007
Publication Date:
01 Apr 2008
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-007-7008-3
Keywords:
unique exponent property; exponent condition; stable finiteness; polynomials; power series; inverse polynomials; 16D90; 16P99; 16S50; 16U20
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Abstract  

We generalise the familiar notions of invariant basis number, rank condition, stable finiteness and strong rank condition from rings to modules. We study the inter relationship between these properties, identify various classes of modules possessing these properties and investigate the effect of many standard module theoretic operations on each one of these properties. We also tackle the important problem of preservation or non-preservation of these properties when we pass respectively to the module of polynomials, power series or inverse polynomials.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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