File(s) under permanent embargo
Rees semigroups of digraphs for classification of data
journal contribution
posted on 2016-02-01, 00:00 authored by Jemal AbawajyJemal Abawajy, Andrei Kelarev, M Miller, J RyanRecent research has motivated the investigation of the weights of ideals in semiring constructions based on semigroups. The present paper introduces Rees semigroups of directed graphs. This new construction is a common generalization of Rees matrix semigroups and incidence semigroups of digraphs. For each finite subsemigroup S of the Rees semigroup of a digraph and for every zero-divisor-free idempotent semiring F with identity element, our main theorem describes all ideals J in the semigroup semiring F0[S] such that J has the largest possible weight.
History
Journal
Semigroup forumVolume
92Issue
1Pagination
121 - 134Publisher
SpringerLocation
New York, N.Y.Publisher DOI
ISSN
0037-1912eISSN
1432-2137Language
engPublication classification
C Journal article; C1 Refereed article in a scholarly journalCopyright notice
2014, SpringerUsage metrics
Categories
No categories selectedKeywords
Licence
Exports
RefWorks
BibTeX
Ref. manager
Endnote
DataCite
NLM
DC