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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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 |
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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. |
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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 |
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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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