半环的不确定性理想理论

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作者：詹建明[著]

出版社：科学出版社

本类榜单：自然科学

分类：自然科学 > 总论

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ISBN：9787030443090
装帧：一般胶版纸
册数：暂无
重量：暂无
开本：16开
页数：280
出版时间：2015-06-01
条形码：9787030443090 ; 978-7-03-044309-0

本书特色

詹建明编著的《半环的不确定性理想理论(英文版)》介绍了，Semirings which are regarded as a generalization of rings have been found usefulin solving problems in different disciplines of applied mathematics and informationsciences because a semiring provides an algebraic framework for modelling. By ahemiring, we mean a special semiring with a zero and with a commutative addition.In applications, hemirings are useful in automata and formal languages. Many as-pects of the theory of matrices and determinants over semirings have been studiedby Beasley et al. in [36], [37], [315], and others. In this book, we attempt to obtain some analogues ring theo-rems for semirings. Indeed, many results in rings apparently do not have analogousresults in semirings if we only consider their ideals.

内容简介

《半环的不确定性理想理论(英文版)》是作者精心为广大读者朋友们编写而成的此书，可以让更多的读者朋友们从书中了解到更多的知识，从而提升读者朋友们自身的知识水平。让我们跟随作者的脚步来从书中学习到我们平常学习不到的知识，一起跟随来更好的学习知识的内容。

preface
chapter 1 introduction.
1.1 hemirings
1.2 fuzzy sets
1.3 rough sets
1.4 soft sets
chapter 2 fuzzy h-ideals.
2.1 fuzzy h-ideals
2.2 fuzzy h-bi-(h-quasi-， h-interior) ideals
2.3 (∈， ∈∨q)-fuzzy h-ideals
2.4 (∈， ∈∨q)-fuzzy h-bi-(h-quasi-， h-interior) ideals
2.5 (∈γ， ∈γ ∨qδ)-fuzzy h-ideals
2.6 (∈γ， ∈γ ∨qδ)-fuzzy h-bi-(h-quasi-， h-interior) ideals
chapter 3 hemirings via (∈γ， ∈γ ∨qδ)-fuzzy h-ideals
3.1 h-hemiregular hemirings via (∈γ， ∈γ ∨qδ)-fuzzy h-ideals
3.2 h-intra-hemiregular hemirings via (∈γ， ∈γ∨qδ)-fuzzy h-ideals
3.3 h-quasi-hemiregular hemirings via (∈γ， ∈γ∨qδ)-fuzzy h-ideals
3.4 h-semisimple hemirings via (∈γ， ∈γ∨qδ)-fuzzy h-ideals
chapter 4 fuzzy soft hemirings
4.1 soft hemirings
4.2 h-(h-bi-， h-quasi-， h-interior) idealistic soft hemirings
4.3 four kinds of hemirings by soft h-idealistic ideals
4.4 (∈γ， ∈γ∨qδ)-fuzzy soft h-(h-bi-， h-quasi-， h-interior) ideals
4.5 four kinds of hemirings by (∈r， ∈r ∨ qδ)-fuzzy soft h-ideals
chapter 5 (m，n)-si-hemirings
5.1 (m，n)-si-hemirings
5.2 (m，n)-si-h-ideals
5.3 (m，n)-si-h-bi-(h-quasi-) ideals
chapter 6 (m，n)-su-hemirings.
6.1 (m，n)-su-h-hemirings.
6.2 (m，n)-su-h-ideals.
6.3 (m，n)-su-h-bi-(h-quasi-) ideals
chapter 7 hemirings via (m，n)-si-h-ideals
7.1 h-hemiregular hemirings via (m，n)-si-h-ideals.
7.2 h-intra-hemiregular hemirings via (m，n)-si-h-ideals
7.3 h-quasi-hemiregular hemirings via (m，n)-si-h-ideals
chapter 8 hemirings via (m，n)-su-h-ideals
8.1 h-hemiregular hemirings via (m，n)-su-h-ideals
8.2 h-intra-hemiregular hemirings via (m，n)-su-h-ideals
chapter 9 rough soft hemirings
9.1 fuzzy congruences and fuzzy strong h-ideals
9.2 rough fuzzy (fuzzy rough) strong h-ideals
9.3 rough soft hemirings
references.
index

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