Continuous and dually continuous idempotent L-semimodules
We introduce L-idempotent analogues of topological vector spaces by means of domain theory, study their basic properties, and prove the existence of free (dually) continuous L-semi- modules over domains, (dually) continuous lattices and semilattices.
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2012-03-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/texts/2012/37_1/3-28.pdf |
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| _version_ | 1850055819306991616 |
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| author | O. R. Nykyforchyn |
| author_facet | O. R. Nykyforchyn |
| author_sort | O. R. Nykyforchyn |
| collection | DOAJ |
| description | We introduce L-idempotent analogues of topological vector spaces by means of domain theory, study their basic properties, and prove the existence of free (dually) continuous L-semi- modules over domains, (dually) continuous lattices and semilattices. |
| format | Article |
| id | doaj-art-cdf6cea23540424b8d27e5dedd8558c8 |
| institution | DOAJ |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2012-03-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-cdf6cea23540424b8d27e5dedd8558c82025-08-20T02:51:52ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342012-03-01371328Continuous and dually continuous idempotent L-semimodulesO. R. NykyforchynWe introduce L-idempotent analogues of topological vector spaces by means of domain theory, study their basic properties, and prove the existence of free (dually) continuous L-semi- modules over domains, (dually) continuous lattices and semilattices.http://matstud.org.ua/texts/2012/37_1/3-28.pdfcontinuous latticeidempotent semimodulefree object |
| spellingShingle | O. R. Nykyforchyn Continuous and dually continuous idempotent L-semimodules Математичні Студії continuous lattice idempotent semimodule free object |
| title | Continuous and dually continuous idempotent L-semimodules |
| title_full | Continuous and dually continuous idempotent L-semimodules |
| title_fullStr | Continuous and dually continuous idempotent L-semimodules |
| title_full_unstemmed | Continuous and dually continuous idempotent L-semimodules |
| title_short | Continuous and dually continuous idempotent L-semimodules |
| title_sort | continuous and dually continuous idempotent l semimodules |
| topic | continuous lattice idempotent semimodule free object |
| url | http://matstud.org.ua/texts/2012/37_1/3-28.pdf |
| work_keys_str_mv | AT ornykyforchyn continuousandduallycontinuousidempotentlsemimodules |