On powers of relational and algebraic systems

We extend the well-known Birkhoff's operation of cardinal power from partially ordered sets onto n-ary relational systems. The extended power is then studied not only for n-ary relational systems but also for some of their special cases, namely partial algebras and total algebras. It turns out...

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Main Authors: N. Chaisansuk, S. Leeratanavalee
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84876425189&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47998
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-479982018-04-25T08:46:30Z On powers of relational and algebraic systems N. Chaisansuk S. Leeratanavalee We extend the well-known Birkhoff's operation of cardinal power from partially ordered sets onto n-ary relational systems. The extended power is then studied not only for n-ary relational systems but also for some of their special cases, namely partial algebras and total algebras. It turns out that a concept of diagonality plays an important role when studying the powers. © 2012 Akadémiai Kiadó, Budapest, Hungary. 2018-04-25T08:46:30Z 2018-04-25T08:46:30Z 2013-04-25 Journal 15882632 02365294 2-s2.0-84876425189 10.1007/s10474-012-0257-9 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84876425189&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47998
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description We extend the well-known Birkhoff's operation of cardinal power from partially ordered sets onto n-ary relational systems. The extended power is then studied not only for n-ary relational systems but also for some of their special cases, namely partial algebras and total algebras. It turns out that a concept of diagonality plays an important role when studying the powers. © 2012 Akadémiai Kiadó, Budapest, Hungary.
format Journal
author N. Chaisansuk
S. Leeratanavalee
spellingShingle N. Chaisansuk
S. Leeratanavalee
On powers of relational and algebraic systems
author_facet N. Chaisansuk
S. Leeratanavalee
author_sort N. Chaisansuk
title On powers of relational and algebraic systems
title_short On powers of relational and algebraic systems
title_full On powers of relational and algebraic systems
title_fullStr On powers of relational and algebraic systems
title_full_unstemmed On powers of relational and algebraic systems
title_sort on powers of relational and algebraic systems
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84876425189&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47998
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