Structure of principal one-sided ideals

James East

doi:10.1142/S0218196721400063

Structure of principal one-sided ideals

James East

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We give a thorough structural analysis of the principal one-sided ideals of arbitrary semigroups, and then apply this to full transformation semigroups and symmetric inverse monoids. One-sided ideals of these semigroups naturally occur as semigroups of transformations with restricted range or kernel.

Original language	English
Pages (from-to)	1093-1145
Number of pages	53
Journal	International Journal of Algebra and Computation
Volume	31
Issue number	6
DOIs	https://doi.org/10.1142/S0218196721400063
Publication status	Published - Sept 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.

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abstract = "We give a thorough structural analysis of the principal one-sided ideals of arbitrary semigroups, and then apply this to full transformation semigroups and symmetric inverse monoids. One-sided ideals of these semigroups naturally occur as semigroups of transformations with restricted range or kernel.",

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DO - 10.1142/S0218196721400063

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EP - 1145

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

IS - 6

ER -

Structure of principal one-sided ideals

Abstract

Bibliographical note

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