Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet

• Published in: Algebra and Discrete Mathematics
• Date: 2006
• Main Author: Slupik, J.K.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/157367
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Classification of inverse semigroups generated by two-state partially defined invertible automata over the two-symbol alphabet / J.K. Slupik // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 1. — С. 67–80. — Бібліогр.: 7 назв. — англ.

The classification of inverse semigroups generated by two-state partially defined invertible automata over a twosymbol alphabet is investigated. Two presentations of such semigroups are given. The structures of these semigroups are analyzed.