Generators and relations for the semigroups of increasing functions on N and Z

• Published in: Algebra and Discrete Mathematics
• Date: 2005
• Main Author: Doroshenko, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157335
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Generators and relations for the semigroups of increasing functions on N and Z / V. Doroshenko // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 4. — С. 1–15. — Бібліогр.: 6 назв. — англ.

The semigroups of all increasing functions over N
 and Z are considered. It is shown that both these semigroups do
 not admit an irreducible system of generators. In their subsemigroups of cofinite functions all irreducible systems of generators are
 described. The last semig...