Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations
After a survey of some known lattice results, we determine the greatest idempotent (resp. compact) solution, when it exists, of a finite square rational equation assigned over a linear lattice. Similar considerations are presented for composite relational equations.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000365 |
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| _version_ | 1850229522348113920 |
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| author | Fortunata Liguori Giulia Martini Salvatore Sessa |
| author_facet | Fortunata Liguori Giulia Martini Salvatore Sessa |
| author_sort | Fortunata Liguori |
| collection | DOAJ |
| description | After a survey of some known lattice results, we determine the greatest idempotent
(resp. compact) solution, when it exists, of a finite square rational equation assigned over a linear
lattice. Similar considerations are presented for composite relational equations. |
| format | Article |
| id | doaj-art-2af48db9722e47d1a31f50ebb8ba7541 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2af48db9722e47d1a31f50ebb8ba75412025-08-20T02:04:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116230130910.1155/S0161171293000365Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equationsFortunata Liguori0Giulia Martini1Salvatore Sessa2Università di Napoli, Facoltà di Architettura, Istituto Matematico, Via Monteoliveto 3, Napoli 80134, ItalyUniversità di Napoli, Facoltà di Architettura, Istituto Matematico, Via Monteoliveto 3, Napoli 80134, ItalyUniversità di Napoli, Facoltà di Architettura, Istituto Matematico, Via Monteoliveto 3, Napoli 80134, ItalyAfter a survey of some known lattice results, we determine the greatest idempotent (resp. compact) solution, when it exists, of a finite square rational equation assigned over a linear lattice. Similar considerations are presented for composite relational equations.http://dx.doi.org/10.1155/S0161171293000365compact matrixidempotent matrixtransitive matrixsquare finite relation equationresiduated lattice. |
| spellingShingle | Fortunata Liguori Giulia Martini Salvatore Sessa Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations International Journal of Mathematics and Mathematical Sciences compact matrix idempotent matrix transitive matrix square finite relation equation residuated lattice. |
| title | Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations |
| title_full | Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations |
| title_fullStr | Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations |
| title_full_unstemmed | Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations |
| title_short | Idempotent and compact matrices on linear lattices: a survey of some lattice results and related solutions of finite relational equations |
| title_sort | idempotent and compact matrices on linear lattices a survey of some lattice results and related solutions of finite relational equations |
| topic | compact matrix idempotent matrix transitive matrix square finite relation equation residuated lattice. |
| url | http://dx.doi.org/10.1155/S0161171293000365 |
| work_keys_str_mv | AT fortunataliguori idempotentandcompactmatricesonlinearlatticesasurveyofsomelatticeresultsandrelatedsolutionsoffiniterelationalequations AT giuliamartini idempotentandcompactmatricesonlinearlatticesasurveyofsomelatticeresultsandrelatedsolutionsoffiniterelationalequations AT salvatoresessa idempotentandcompactmatricesonlinearlatticesasurveyofsomelatticeresultsandrelatedsolutionsoffiniterelationalequations |