p-systems in local Noether lattices
In this paper we introduce the concept of a p-system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements. In additi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129400092X |
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| _version_ | 1832558491529641984 |
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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 | In this paper we introduce the concept of a p-system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements. In addition, p-systems are characterized in quotient lattices and completions. |
| format | Article |
| id | doaj-art-f847d078a3384b99b29a0c15c7ef85a3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f847d078a3384b99b29a0c15c7ef85a32025-02-03T01:32:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117465566010.1155/S016117129400092Xp-systems in local Noether latticesE. W. Johnson0Johnny A. Johnson1Monty B. Taylor2Department of Mathematics, University of Iowa, Iowa City 52242, Iowa, USADepartment of Mathematics, University of Houston, Houston 77204, Texas, USADepartment of Mathematics and Computer Science, University of Texas-Pan American, Edinburg 78539, Texas, USAIn this paper we introduce the concept of a p-system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements. In addition, p-systems are characterized in quotient lattices and completions.http://dx.doi.org/10.1155/S016117129400092XlocalNoethermultiplicative lattice. |
| spellingShingle | E. W. Johnson Johnny A. Johnson Monty B. Taylor p-systems in local Noether lattices International Journal of Mathematics and Mathematical Sciences local Noether multiplicative lattice. |
| title | p-systems in local Noether lattices |
| title_full | p-systems in local Noether lattices |
| title_fullStr | p-systems in local Noether lattices |
| title_full_unstemmed | p-systems in local Noether lattices |
| title_short | p-systems in local Noether lattices |
| title_sort | p systems in local noether lattices |
| topic | local Noether multiplicative lattice. |
| url | http://dx.doi.org/10.1155/S016117129400092X |
| work_keys_str_mv | AT ewjohnson psystemsinlocalnoetherlattices AT johnnyajohnson psystemsinlocalnoetherlattices AT montybtaylor psystemsinlocalnoetherlattices |