Presentations and word problem for strong semilattices of semigroups
Let I be a semilattice, and Si (i ∈ I) be a family of disjoint semigroups. Then we prove that the strong semilattice S = S[I, Si , φj,i] of semigroups Si with homomorphisms φj,i : Sj → Si (j ≥ i) is finitely presented if and only if I is finite and each Si (i ∈ I) is finitely presented. Moreove...
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| Date: | 2005 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2005
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/157334 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Presentations and word problem for strong semilattices of semigroups / G. Ayık, H. Ayık, Y. Unlu // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 28–35. — Бібліогр.: 11 назв. — англ. |