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
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84876425189&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52759
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-52759
record_format	dspace
spelling	th-cmuir.6653943832-527592018-09-04T09:31:43Z On powers of relational and algebraic systems N. Chaisansuk S. Leeratanavalee Mathematics 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. 2018-09-04T09:31:43Z 2018-09-04T09:31:43Z 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/6653943832/52759
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics N. Chaisansuk S. Leeratanavalee On powers of relational and algebraic systems
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
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/6653943832/52759
_version_	1681424009774759936

On powers of relational and algebraic systems

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