Lattice modules having small cofinite irreducibles
We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201004604 |
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| _version_ | 1832559429113872384 |
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| author | E. W. Johnson Johnny A. Johnson Monty B. Taylor |
| author_facet | E. W. Johnson Johnny A. Johnson Monty B. Taylor |
| author_sort | E. W. Johnson |
| collection | DOAJ |
| description | We introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property. |
| format | Article |
| id | doaj-art-8f772811359c45ababedc3b293a54524 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-8f772811359c45ababedc3b293a545242025-02-03T01:30:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126316116610.1155/S0161171201004604Lattice modules having small cofinite irreduciblesE. W. Johnson0Johnny A. Johnson1Monty B. Taylor2Department of Mathematics, University of Iowa, Iowa City 52240, IA, USADepartment of Mathematics, University of Houston, Houston 77204, TX, USADepartment of Mathematics, University of Texas-Pan American, Edinburg 78539, TX, USAWe introduce the concept of small cofinite irreducibles in Noetherian lattice modules and obtain several characterizations of this property.http://dx.doi.org/10.1155/S0161171201004604 |
| spellingShingle | E. W. Johnson Johnny A. Johnson Monty B. Taylor Lattice modules having small cofinite irreducibles International Journal of Mathematics and Mathematical Sciences |
| title | Lattice modules having small cofinite irreducibles |
| title_full | Lattice modules having small cofinite irreducibles |
| title_fullStr | Lattice modules having small cofinite irreducibles |
| title_full_unstemmed | Lattice modules having small cofinite irreducibles |
| title_short | Lattice modules having small cofinite irreducibles |
| title_sort | lattice modules having small cofinite irreducibles |
| url | http://dx.doi.org/10.1155/S0161171201004604 |
| work_keys_str_mv | AT ewjohnson latticemoduleshavingsmallcofiniteirreducibles AT johnnyajohnson latticemoduleshavingsmallcofiniteirreducibles AT montybtaylor latticemoduleshavingsmallcofiniteirreducibles |