Simple and subdirectly irreducibles bounded distributive lattices with unary operators
We characterize the simple and subdirectly irreducible distributive algebras in some varieties of distributive lattices with unary operators, including topological and monadic positive modal algebras. Finally, for some varieties of Heyting algebras with operators we apply these results to determine...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/21835 |
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| _version_ | 1832555433145925632 |
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| author | Sergio Arturo Celani |
| author_facet | Sergio Arturo Celani |
| author_sort | Sergio Arturo Celani |
| collection | DOAJ |
| description | We characterize the simple and subdirectly irreducible distributive algebras in
some varieties of distributive lattices with unary operators, including topological and monadic positive modal algebras. Finally, for some varieties of Heyting algebras with operators we apply these results to determine the simple and subdirectly irreducible algebras. |
| format | Article |
| id | doaj-art-c14977aebc0341129a3fd530b8ba286d |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c14977aebc0341129a3fd530b8ba286d2025-02-03T05:48:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2183521835Simple and subdirectly irreducibles bounded distributive lattices with unary operatorsSergio Arturo Celani0Consejo Nacional de Investigaciones Científicas Y Técnicas (CONICET) and Departamento de Matemáticas, Facultad de Ciencias Exactas, Universidad Nacional del Centro de la Provincia de Buenos Aires, Pinto 399, Tandil 7000, ArgentinaWe characterize the simple and subdirectly irreducible distributive algebras in some varieties of distributive lattices with unary operators, including topological and monadic positive modal algebras. Finally, for some varieties of Heyting algebras with operators we apply these results to determine the simple and subdirectly irreducible algebras.http://dx.doi.org/10.1155/IJMMS/2006/21835 |
| spellingShingle | Sergio Arturo Celani Simple and subdirectly irreducibles bounded distributive lattices with unary operators International Journal of Mathematics and Mathematical Sciences |
| title | Simple and subdirectly irreducibles bounded distributive lattices
with unary operators |
| title_full | Simple and subdirectly irreducibles bounded distributive lattices
with unary operators |
| title_fullStr | Simple and subdirectly irreducibles bounded distributive lattices
with unary operators |
| title_full_unstemmed | Simple and subdirectly irreducibles bounded distributive lattices
with unary operators |
| title_short | Simple and subdirectly irreducibles bounded distributive lattices
with unary operators |
| title_sort | simple and subdirectly irreducibles bounded distributive lattices with unary operators |
| url | http://dx.doi.org/10.1155/IJMMS/2006/21835 |
| work_keys_str_mv | AT sergioarturocelani simpleandsubdirectlyirreduciblesboundeddistributivelatticeswithunaryoperators |