DocumentCode
2414848
Title
Several Properties of Green´s Relations on a Semiring
Author
Jin, Yingji ; Bai, Honggang
fYear
2011
fDate
21-23 Oct. 2011
Firstpage
1167
Lastpage
1169
Abstract
Green´s relations have played a fundamental role in the development of semi group theory. M.P. Grillet defined Green´s relations on a semiring in terms of principal ideals. In this paper, we mainly discuss the properties of left (right) Green´s relations on a semiring, the result show that La is the same as (a] whenever (a] is the minimal left ideal, and we give a sufficient and necessary condition for L = L.
Keywords
Additives; Algebra; Computers; Educational institutions; Finite element methods; History; Green´s relation; principal left (right) ideal; semiring;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational and Information Sciences (ICCIS), 2011 International Conference on
Conference_Location
Chengdu, China
Print_ISBN
978-1-4577-1540-2
Type
conf
DOI
10.1109/ICCIS.2011.12
Filename
6086414
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