Computer solutions of problems in inverse semigroups

Araújo, João; McCune, William

http://hdl.handle.net/10400.2/2002

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Authors

Araújo, João

McCune, William

Abstract(s)

In 1981, Tamura posed a number of problems regarding the axiomatic definition of inverse semigroups. The main goal of this article is to use automated reasoning to solve these problems. In the process, we find some new defining sets of identities for the class of inverse semigroups and provide a single identity for groups in terms of two binary operations.

Keywords

Automated reasoning Equational logic Groups Luver semigroup

URI

http://hdl.handle.net/10400.2/2002

Citation

Araújo, João; McCune, William - Computer solutions of problems in inverse semigroups. "Communications in Algebra" [Em linha]. ISSN 0092-7872 (Print) 1532-4125 (Online). Vol. 38, nº3 (2010), p. 1104-1121