Normal forms for semigroup amalgams

Bennett, Paul

doi:10.1007/s11856-017-1484-0

Isr. J. Math.

2017

DOI: 10.1007/s11856-017-1484-0

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Normal forms for semigroup amalgams

Paul Bennett¹

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2019

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Some completely semisimple HNN-extensions of inverse semigroups

Ayyash

Cherubini

2019

Int. J. Algebra Comput.

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We give necessary and sufficient conditions in order that lower bounded HNN-extensions of inverse semigroups and HNN-extensions of finite inverse semigroups are completely semisimple semigroups. Since it is well known that an inverse semigroup is completely semisimple if and only if it does not contain a copy of the bicyclic semigroup, we first characterize such HNN-extensions containing a bicyclic subsemigroup making use of the special feature of their Schützenberger automata.

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Some completely semisimple HNN-extensions of inverse semigroups

Ayyash

Cherubini

2019

Int. J. Algebra Comput.

View full text Add to dashboard Cite

show abstract

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Normal forms for semigroup amalgams

Cited by 1 publication

References 19 publications

Some completely semisimple HNN-extensions of inverse semigroups

Some completely semisimple HNN-extensions of inverse semigroups

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