REMARKS ON IDEAL COMPLETION OF *-CONTINUOUS IDEMPOTENT LEFT SEMIRINGS - Collections | Kyushu University Library

＜journal article＞
REMARKS ON IDEAL COMPLETION OF *-CONTINUOUS IDEMPOTENT LEFT SEMIRINGS

Creator	Creator Name Furusawa, Hitoshi 古澤, 仁フルサワ, ヒトシ Affiliation Affiliation Name Department of Mathematics and Computer Science, Graduate School of Science and Engineering, Kagoshima University 鹿児島大学大学院理工学研究科数理情報科学専攻
	Creator Name Sanda, Fumiya 三田, 文也サンダ, フミヤ Affiliation Affiliation Name Chosa Junior High School 帖佐中学校
	Creator Name Tsumagari, Norihiro 津曲, 紀宏ツマガリ, ノリヒロ Affiliation Affiliation Name Department of System Information Science, Graduate School of Science and Engineering, Kagoshima University \| Japan Society for the Promotion of Science : Research Fellow 鹿児島大学大学院理工学研究科システム情報科学専攻 \| 日本学術振興会特別研究員
Language	English
Publisher	Research Association of Statistical Sciences
Publisher	統計科学研究会
Date	2011-12
Source Title	Bulletin of informatics and cybernetics
Vol	43
First Page	1
Last Page	21
Publication Type	Version of Record
Access Rights	open access
Crossref DOI	https://doi.org/10.5109/1434308
Related DOI	http://bic.math.kyushu-u.ac.jp/
Related URI	http://bic.math.kyushu-u.ac.jp/
Relation	http://bic.math.kyushu-u.ac.jp/
Abstract	It has been reported that the set of -ideals of a -continuous idempotent left semiring forms a D-continuous idempotent left semiring and the construction satisfies a universal property. However, we ...have found a -continuous idempotent left semiring that the set of its -ideals never forms a D-continuous idempotent left semiring. In this paper, we give this example and show that the reported properties hold if a *-continuous idempotent left semiring satisfies left distributivity.show more

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PISSN	0286-522X
EISSN	2435-743X
NCID	AA10634475
Record ID	1434308
Peer-Reviewed	Refereed
Subject Terms	*-continuous Idempotent Left Semirings
	D-continuous Idempotent Left Semirings
	*-ideals
	Ideal Completion
Created Date	2014.03.18
Modified Date	2020.11.27