On the subsemigroup complex of an aperiodic Brandt semigroup

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Margolis, S (Author) Other; Rhodes, J (Author) Other; Pedro V. Silva (Author) FCUP

Journal

Title: Semigroup Forum

Vol. 97

Pages: 7-31

ISSN: 0037-1912

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 4 Citations

Other information

Authenticus ID: P-00N-N24

DOI: 10.1007/s00233-018-9927-4

Abstract (EN): We introduce the subsemigroup complex of a finite semigroup S as a (boolean representable) simplicial complex defined through chains in the lattice of subsemigroups of S. We present a research program for such complexes, illustrated through the particular case of combinatorial Brandt semigroups. The results include alternative characterizations of faces and facets, asymptotical estimates on the number of facets, or establishing when the complex is pure or a matroid.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25