半群代數理論

項目簡介

半群代數理論是代數學中從研究對象、課題到方法都獨具特色的一個分支學科，它從數學內部和外部得到巨大推動，已系統研究了五十年。本項目著重研究半群（雙半群）與自由半群組合對象的代數結構，半群上的同餘理論，半群上的動力學，以及半群簇與語言流。

科研成果

序號	標題	類型	作者
1	Semigroup structure of left-C-semirings	學術專著	Guo、Y.Q.、Shum、K. P.、Sen、M.K.
2	Semirings which are unions of rings	學術專著	F. Pastijn、Guo Yuqi
3	Notes on homomorphisms preserving certain families of languages	學術專著	Cao Chunhua
4	F-Abundant semigroups	學術專著	Xiaojiang Guo
5	可控自然序富足半群	學術專著	郭小江
6	Weakly J—covered completely regular semigroups	學術專著	Yong He
7	Congruences on left regular orthodox semidirect products of monoids	學術專著	張榮華、吳勁鵬
8	On semigroups of e-quasi-type	學術專著	Yong He
9	A construction for P—regular semigroups	學術專著	Yong He
10	Sturdy frames of type (2,2) algebras and their applications to semirings	學術專著	X.Z Zhao、Y.Q.Guo、K.P.Shum
11	On weakly P—regular semigroups	學術專著	Zhang Ronghua
12	L-subvarieties of the variety of idempotent semirings	學術專著	Zhao Xianzhong、K.P.Shum、Guo Yuqi
13	Orthodox transversals of regular semigroups	學術專著	J.F. Chen、Y.Q.Guo
14	Perfect rpp semigroups	期刊論文	X. J. Guo、K.P.Shum、Y.Q.Guo
15	On the translational hull of type-A semigroups	學術專著	Guo Xiaojiang、K.P.Shum
16	Partial kernel normal systems in regular semigroups	學術專著	Yong He
17	A Rees matrix representation theorem for U-semi-superabundant semigroups	學術專著	Li Gang
18	D-Subvarieties of the variety of idempotent semirings	學術專著	XianZhong Zhao、Yuqi Guo、K.P.Shum
19	The problem of freedom on certain subsemigroups of the submonoid of left singular langguages	學術專著	Chunhua Cao
20	Two classes of languages related to the prefix codes	學術專著	Zhang Ronghua、Cai yanying
21	The relation of idempotent matrices in Dn	學術專著	周紹艷、張榮華
22	LR-inverse semigroups	學術專著	Du、A.H.、Guo、Y.Q.
23	Semigroups with the ideal extension property	學術專著	Xiaojiang Guo
24	The ideal extension property in compact semigroups	學術專著	Xiaojiang Guo
25	Abundant semigroups with a multiplicative adequate transversal	學術專著	Guo Xiaojiang
26	- - semidirect products of left regular orthodox semigroups	學術專著	吳勁鵬、張榮華
27	純整超rpp半群的構造	學術專著	何勇、郭聿琦、岑嘉評
28	Refined semilattices of semigroups	學術專著	Liang Zhang、K.P. Shum、Ronghua Zhang
29	The semilattices of semigroup of doubly stochastic matrices Dn	學術專著	Zhou Shaoyan、Zhang Ronghua
30	- - weakly covered orthodox semigroups	學術專著	何勇
31	The congruence extension property in compact semigroups having precisely one regular D-class	學術專著	Xiaojiang Guo
32	Idempotent-connected abundant semigroups which are disjoint unions of quasi-ideal adequate transversals	學術專著	Xiaojiang Guo、Li-ming Wang
33	On the inverse transversals of MF,n and its core	學術專著	Ronghua Zhang、Chunhua Cao
34	A new proof of L.K. Hua’s theorem on homomorphisms	學術專著	Shum、K.P.、Guo、Y. Q.
35	Thierrin theorem in semigroups and its generalization	學術專著	Guo、Y.Q.、Wang、Z.P.、Shum、K.P.
36	Refined semilattice structure of C*- - quasiregular semigroups	學術專著	Z.P.Wang、R.H. Zhang、K.P.Shum

半群代數理論

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項目簡介

科研成果

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