Degree of matrix relation algebras

M. El Bachraoui; M. Van de Vel

doi:10.1007/s000120200002

Degree of matrix relation algebras

M. El Bachraoui, M. Van de Vel

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

3 Citations (Scopus)

Abstract

We show that a relation algebra and its n-matrix relation algebra have the same degree for all positive integers n. An intermediate result relates the degree of a relation algebra to the degree of a relativization with respect to equivalence elements.

Original language	English
Pages (from-to)	301-308
Number of pages	8
Journal	Algebra Universalis
Volume	48
Issue number	3
DOIs	https://doi.org/10.1007/s000120200002
Publication status	Published - 2002
Externally published	Yes

Keywords

Degree
Matrix relation algebra
Relativization
Semi-associative relation algebra

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s000120200002

Cite this

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title = "Degree of matrix relation algebras",

abstract = "We show that a relation algebra and its n-matrix relation algebra have the same degree for all positive integers n. An intermediate result relates the degree of a relation algebra to the degree of a relativization with respect to equivalence elements.",

keywords = "Degree, Matrix relation algebra, Relativization, Semi-associative relation algebra",

author = "{El Bachraoui}, M. and {Van de Vel}, M.",

year = "2002",

doi = "10.1007/s000120200002",

language = "English",

volume = "48",

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journal = "Algebra Universalis",

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AU - Van de Vel, M.

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KW - Relativization

KW - Semi-associative relation algebra

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Degree of matrix relation algebras

Abstract

Keywords

ASJC Scopus subject areas

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