Combinatorial Route to Algebra: The Art of Composition & Decomposition
We consider a general concept of composition and decomposition of objects, and discuss a few natural properties one may expect from a reasonable choice thereof. It will be demonstrated how this leads to multiplication and co-multiplication laws, thereby providing a generic scheme furnishing combinat...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2009-01-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
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| Online Access: | https://dmtcs.episciences.org/481/pdf |
| _version_ | 1797270145204224000 |
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| author | Pawel Blasiak |
| author_facet | Pawel Blasiak |
| author_sort | Pawel Blasiak |
| collection | DOAJ |
| description | We consider a general concept of composition and decomposition of objects, and discuss a few natural properties one may expect from a reasonable choice thereof. It will be demonstrated how this leads to multiplication and co-multiplication laws, thereby providing a generic scheme furnishing combinatorial classes with an algebraic structure. The paper is meant as a gentle introduction to the concepts of composition and decomposition with the emphasis on combinatorial origin of the ensuing algebraic constructions. |
| first_indexed | 2024-04-25T01:59:37Z |
| format | Article |
| id | doaj.art-74b74f46038145eba719c6f752e0594c |
| institution | Directory Open Access Journal |
| issn | 1365-8050 |
| language | English |
| last_indexed | 2024-04-25T01:59:37Z |
| publishDate | 2009-01-01 |
| publisher | Discrete Mathematics & Theoretical Computer Science |
| record_format | Article |
| series | Discrete Mathematics & Theoretical Computer Science |
| spelling | doaj.art-74b74f46038145eba719c6f752e0594c2024-03-07T15:15:54ZengDiscrete Mathematics & Theoretical Computer ScienceDiscrete Mathematics & Theoretical Computer Science1365-80502009-01-01Vol. 12 no. 210.46298/dmtcs.481481Combinatorial Route to Algebra: The Art of Composition & DecompositionPawel Blasiak0H. Niewodniczanski Institute of Nuclear PhysicsWe consider a general concept of composition and decomposition of objects, and discuss a few natural properties one may expect from a reasonable choice thereof. It will be demonstrated how this leads to multiplication and co-multiplication laws, thereby providing a generic scheme furnishing combinatorial classes with an algebraic structure. The paper is meant as a gentle introduction to the concepts of composition and decomposition with the emphasis on combinatorial origin of the ensuing algebraic constructions.https://dmtcs.episciences.org/481/pdf[info.info-ni] computer science [cs]/networking and internet architecture [cs.ni] |
| spellingShingle | Pawel Blasiak Combinatorial Route to Algebra: The Art of Composition & Decomposition Discrete Mathematics & Theoretical Computer Science [info.info-ni] computer science [cs]/networking and internet architecture [cs.ni] |
| title | Combinatorial Route to Algebra: The Art of Composition & Decomposition |
| title_full | Combinatorial Route to Algebra: The Art of Composition & Decomposition |
| title_fullStr | Combinatorial Route to Algebra: The Art of Composition & Decomposition |
| title_full_unstemmed | Combinatorial Route to Algebra: The Art of Composition & Decomposition |
| title_short | Combinatorial Route to Algebra: The Art of Composition & Decomposition |
| title_sort | combinatorial route to algebra the art of composition decomposition |
| topic | [info.info-ni] computer science [cs]/networking and internet architecture [cs.ni] |
| url | https://dmtcs.episciences.org/481/pdf |
| work_keys_str_mv | AT pawelblasiak combinatorialroutetoalgebratheartofcompositiondecomposition |