Subalgebras of incidence algebras determined by equivalence relations

K.J. Harrison; W.E. Longstaff

doi:10.1016/0097-3165(81)90055-8

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Subalgebras of incidence algebras determined by equivalence relations

Journal article

Peer reviewed

Subalgebras of incidence algebras determined by equivalence relations

K.J. Harrison and W.E. Longstaff

Journal of Combinatorial Theory, Series A, Vol.31(1), pp.94-97

1981

DOI: https://doi.org/10.1016/0097-3165(81)90055-8

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Abstract

The main result of this paper is a necessary and sufficient condition on an equivalence relation R defined on the set of intervals of a locally finite partially ordered set S for the set of R-functions to be a subalgebra of the incidence algebra of S over a field of characteristic zero.

Details

Title: Subalgebras of incidence algebras determined by equivalence relations
Authors/Creators: K.J. Harrison (Author/Creator) - Murdoch University
W.E. Longstaff (Author/Creator) - The University of Western Australia
Publication Details: Journal of Combinatorial Theory, Series A, Vol.31(1), pp.94-97
Publisher: Elsevier Inc.
Identifiers: 991005542179507891
Murdoch Affiliation: School of Mathematical and Physical Sciences
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration
Citation topics: 9 Mathematics; 9.28 Pure Maths; 9.28.1228 Combinatorial Polynomials
Web Of Science research areas: Mathematics
ESI research areas: Mathematics