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- W3100338411 endingPage "120" @default.
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- W3100338411 abstract "There are two major structure theorems for an arbitrary regular semigroup using categories, both due to Nambooripad. The first construction using inductive groupoids departs from the biordered set structure of a given regular semigroup. This approach belongs to the realm of the celebrated Ehresmann--Schein--Nambooripad Theorem and its subsequent generalisations. The second construction is a generalisation of Grillet's work on cross-connected partially ordered sets, arising from the principal ideals of the given semigroup. In this article, we establish a direct equivalence between these two seemingly different constructions. We show how the cross-connection representation of a regular semigroup may be constructed directly from the inductive groupoid of the semigroup, and vice versa." @default.
- W3100338411 created "2020-11-23" @default.
- W3100338411 creator A5053936374 @default.
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- W3100338411 date "2018-12-06" @default.
- W3100338411 modified "2023-10-14" @default.
- W3100338411 title "Inductive groupoids and cross-connections of regular semigroups" @default.
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- W3100338411 doi "https://doi.org/10.1007/s10474-018-0888-6" @default.
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