Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products

The multiplicative semigroups Z{double-struck}nhave been widely studied. But, the ideals of Z{double-struck}nseem to be unknown. In this paper, we provide a complete descriptions of ideals of the semigroups Z{double-struck}nand their product semigroups Z{double-struck}m× Z{double-struck}n. We also s...

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Main Authors: Wattapong Puninagool, Jintana Sanwong
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/49259
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-492592018-08-16T02:13:26Z Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products Wattapong Puninagool Jintana Sanwong Mathematics The multiplicative semigroups Z{double-struck}nhave been widely studied. But, the ideals of Z{double-struck}nseem to be unknown. In this paper, we provide a complete descriptions of ideals of the semigroups Z{double-struck}nand their product semigroups Z{double-struck}m× Z{double-struck}n. We also study the numbers of ideals in such semigroups. 2018-08-16T02:13:26Z 2018-08-16T02:13:26Z 2009-01-01 Journal 12256951 2-s2.0-77950407300 10.5666/KMJ.2009.49.1.041 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77950407300&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49259
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Wattapong Puninagool
Jintana Sanwong
Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products
description The multiplicative semigroups Z{double-struck}nhave been widely studied. But, the ideals of Z{double-struck}nseem to be unknown. In this paper, we provide a complete descriptions of ideals of the semigroups Z{double-struck}nand their product semigroups Z{double-struck}m× Z{double-struck}n. We also study the numbers of ideals in such semigroups.
format Journal
author Wattapong Puninagool
Jintana Sanwong
author_facet Wattapong Puninagool
Jintana Sanwong
author_sort Wattapong Puninagool
title Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products
title_short Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products
title_full Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products
title_fullStr Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products
title_full_unstemmed Ideals of the multiplicative semigroups Z{double-struck}<inf>n</inf>and their Products
title_sort ideals of the multiplicative semigroups z{double-struck}<inf>n</inf>and their products
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77950407300&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/49259
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