A generalization of algebraic compactness

A. Laradji

doi:10.1080/00927879508825419

A generalization of algebraic compactness

A. Laradji^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We introduce a generalization of algebraic compactness for modules analogous to, and extending the one given for abelian groups by C. Megibben in [13]. After a preliminary section, we discuss the relationship between this notion and the matrix subgroups of W. Zimmermann [17], and then use the results obtained to generalize, through a filter-theoretic approach, several theorems of W. Zimmermann [17] and E.M. Martinez [11].

Original language	English
Pages (from-to)	3589-3600
Number of pages	12
Journal	Communications in Algebra
Volume	23
Issue number	10
DOIs	https://doi.org/10.1080/00927879508825419
State	Published - Jan 1995

Bibliographical note

Funding Information:
Acknowledgments. The author gratefully acknowledges the support of King Fahd University of Petroleum and Minerals under Project No. MSIALGEB-RAIC/152. He also wishes to thank the referee for his helpful comments and suggestions.

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927879508825419

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title = "A generalization of algebraic compactness",

abstract = "We introduce a generalization of algebraic compactness for modules analogous to, and extending the one given for abelian groups by C. Megibben in [13]. After a preliminary section, we discuss the relationship between this notion and the matrix subgroups of W. Zimmermann [17], and then use the results obtained to generalize, through a filter-theoretic approach, several theorems of W. Zimmermann [17] and E.M. Martinez [11].",

author = "A. Laradji",

note = "Funding Information: Acknowledgments. The author gratefully acknowledges the support of King Fahd University of Petroleum and Minerals under Project No. MSIALGEB-RAIC/152. He also wishes to thank the referee for his helpful comments and suggestions.",

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PY - 1995/1

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N2 - We introduce a generalization of algebraic compactness for modules analogous to, and extending the one given for abelian groups by C. Megibben in [13]. After a preliminary section, we discuss the relationship between this notion and the matrix subgroups of W. Zimmermann [17], and then use the results obtained to generalize, through a filter-theoretic approach, several theorems of W. Zimmermann [17] and E.M. Martinez [11].

AB - We introduce a generalization of algebraic compactness for modules analogous to, and extending the one given for abelian groups by C. Megibben in [13]. After a preliminary section, we discuss the relationship between this notion and the matrix subgroups of W. Zimmermann [17], and then use the results obtained to generalize, through a filter-theoretic approach, several theorems of W. Zimmermann [17] and E.M. Martinez [11].

UR - https://www.scopus.com/pages/publications/21844505500

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DO - 10.1080/00927879508825419

M3 - Article

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VL - 23

SP - 3589

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JO - Communications in Algebra

JF - Communications in Algebra

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ER -

A generalization of algebraic compactness

Abstract

Bibliographical note

ASJC Scopus subject areas

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