All intra-regular generalized hypersubstitutions of type (2)

© 2019 Ampika Boonmee et al., published by Sciendo 2019. A generalized hypersubstitution of type τ maps each operation symbol of the type to a term of the type, and can be extended to a mapping defined on the set of all terms of this type. The set of all such generalized hypersubstitutions forms a m...

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Bibliographic Details
Main Authors: Ampika Boonmee, Sorasak Leeratanavalee
Format: Journal
Published: 2019
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Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071511123&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/66693
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Institution: Chiang Mai University
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Summary:© 2019 Ampika Boonmee et al., published by Sciendo 2019. A generalized hypersubstitution of type τ maps each operation symbol of the type to a term of the type, and can be extended to a mapping defined on the set of all terms of this type. The set of all such generalized hypersubstitutions forms a monoid. An element a of a semigroup S is intra-regular if there is b S such that a = baab. In this paper, we determine the set of all intra-regular elements of this monoid for type τ = (2).