Characterization of clones of boolean operations by identities
In [4] the authors characterized all clones of Boolean operations (Boolean clones) by functional terms. In this paper
 we consider a Galois connection between operations and equations
 and characterize all Boolean clones by using of identities. For each
 Boolean clone we obta...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157376 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Characterization of clones of boolean operations by identities / R. Butkote, K. Denecke // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 70–90. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862551119332376576 |
|---|---|
| author | Butkote, R. Denecke, K. |
| author_facet | Butkote, R. Denecke, K. |
| citation_txt | Characterization of clones of boolean operations by identities / R. Butkote, K. Denecke // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 70–90. — Бібліогр.: 6 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In [4] the authors characterized all clones of Boolean operations (Boolean clones) by functional terms. In this paper
we consider a Galois connection between operations and equations
and characterize all Boolean clones by using of identities. For each
Boolean clone we obtain a set of equations with the property that
an operation f belongs to this clone if and only if it satisfies these
equations.
|
| first_indexed | 2025-11-25T20:49:33Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157376 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-25T20:49:33Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Butkote, R. Denecke, K. 2019-06-20T03:08:29Z 2019-06-20T03:08:29Z 2007 Characterization of clones of boolean operations by identities / R. Butkote, K. Denecke // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 2. — С. 70–90. — Бібліогр.: 6 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 03B05, 03C05, 08B05. https://nasplib.isofts.kiev.ua/handle/123456789/157376 In [4] the authors characterized all clones of Boolean operations (Boolean clones) by functional terms. In this paper
 we consider a Galois connection between operations and equations
 and characterize all Boolean clones by using of identities. For each
 Boolean clone we obtain a set of equations with the property that
 an operation f belongs to this clone if and only if it satisfies these
 equations. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Characterization of clones of boolean operations by identities Article published earlier |
| spellingShingle | Characterization of clones of boolean operations by identities Butkote, R. Denecke, K. |
| title | Characterization of clones of boolean operations by identities |
| title_full | Characterization of clones of boolean operations by identities |
| title_fullStr | Characterization of clones of boolean operations by identities |
| title_full_unstemmed | Characterization of clones of boolean operations by identities |
| title_short | Characterization of clones of boolean operations by identities |
| title_sort | characterization of clones of boolean operations by identities |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157376 |
| work_keys_str_mv | AT butkoter characterizationofclonesofbooleanoperationsbyidentities AT deneckek characterizationofclonesofbooleanoperationsbyidentities |