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On S-acts containing no maximal S-subacts
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作者 石小平 《Journal of Southeast University(English Edition)》 EI CAS 2006年第4期593-596,共4页
Let S be a semigroup and let A be an S-act. Some necessary and sufficient conditions that S-subacts of A are maximal S-subacts are given. A relation B which is similar to the Green relation in semigroups is defined. B... Let S be a semigroup and let A be an S-act. Some necessary and sufficient conditions that S-subacts of A are maximal S-subacts are given. A relation B which is similar to the Green relation in semigroups is defined. By the relation B, it is proved that a non-empty set L of A is a maximal S-subact if and only if A/L is a (maximal) B-class. Finally, the concept of a C-subact is defined, some properties of C-subacts are discussed, and it is proved that A contains no maximal S-subacts if and only if every cyclic S-subact of A is a C-subact. Consequently, the results obtained by Imrich Fabrici that semigroups contain no maximal (left) ideals are the corollary of this paper. 展开更多
关键词 s-act maximal subact C-subact
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In situ constructing(MnS/Mn_(2)SnS_4)@N,S-ACTs heterostructure with superior Na/Li-storage capabilities in half-cells and pouch full-cells
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作者 Dai-Huo Liu Ao Wang +7 位作者 Hong-Yan Lü Xing-Long Wu Dan Luo Wen-Hao Li Jin-Zhi Guo Haozhen Dou Qianyi Ma Zhongwei Chen 《Chinese Chemical Letters》 SCIE CAS 2024年第11期522-527,共6页
Effective design of nanoheterostructure anode with high ion/electron migration kinetics can give electrode with superior electrochemical performance.However,the design and preparation of nanoheterostructure composites... Effective design of nanoheterostructure anode with high ion/electron migration kinetics can give electrode with superior electrochemical performance.However,the design and preparation of nanoheterostructure composites with high-capacity and long cycling life in half and pouch full cells remain a big challenge.Here,a novel micro-pore MnS/Mn_(2)SnS_(4)heterostructure nanowire were in situ encapsulated into the N and S elements co-doped amorphous carbon tubes(abbreviated as(MnS/Mn_(2)SnS_(4))@N,S-ACTs)and showed superior energy storage properties in Na-/Li-ion half cells and pouch full cells.The Na-/Li-storage capabilities improvement are attribute to the strong synergistic effect between MnS/Mn_(2)SnS_(4)heterostructure and N,S-ACTs protective layer,the former induces an local built-in electric field between Mn_(2)Sn S_(4)and MnS during charging/discharging,accelerating interfacial ion/electron diffusion dynamics,the latter effective maintains the morphology and volume evolution during Na~+/Li~+charging/discharging,achieving a long-term cycling stability(e.g.,high discharge capacity of 79.2 mAh/g with the capacity retention of 79.3%can be gained after 2200 cycles at 3 C in(Mn S/Mn_(2)Sn S_(4))@N,S-ACTs//LiFePO_(4)pouch full cells;a high capacity of~34 mAh/g at 10 C can be got with a Coulombic efficiency of 100%after 1000 cycles in pouch(Mn S/Mn_(2)Sn S_(4))@N,S-ACTs//Na_(3)V_(2)(PO_(4))_(2)O_(2)F full cells. 展开更多
关键词 (MnS/Mn_(2)SnS_(4))@N s-acts Heterostructure Long cycling life Na-/Li-ion half cells Pouch full cells
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On Monoids over which All Strongly Flat Right S-Acts Are Regular 被引量:2
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作者 乔虎生 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2006年第4期720-724,共5页
This paper investigates the characterizations of monoids over which all strongly flat right S-acts are regular. It is shown that all strongly flat right S-acts are regular if and only if S is a right PSF monoid and ev... This paper investigates the characterizations of monoids over which all strongly flat right S-acts are regular. It is shown that all strongly flat right S-acts are regular if and only if S is a right PSF monoid and every left collapsible submonoid of S contains a left zero. This result gives a new answer to the problem in Kilp and Knauer. 展开更多
关键词 strong fiat s-acts regular s-acts.
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Projective and indecomposable S-acts 被引量:3
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作者 陈裕群 岑嘉评 《Science China Mathematics》 SCIE 1999年第6期593-599,共7页
LetS be a semigroup andE the set of all idempotents inS. LetS-Act be the category of allS-acts. LetC be a full subcategory ofS-Act which containss S and is closed under coproducts and summands. It is proved that, inC,... LetS be a semigroup andE the set of all idempotents inS. LetS-Act be the category of allS-acts. LetC be a full subcategory ofS-Act which containss S and is closed under coproducts and summands. It is proved that, inC, anS-actP is projective and unitary if and only ifP? ? j? I Se i ,e i ?E. In particular,P is a projective, indecomposable and unitary object if and only ifP ?Se for somee ∈E. These generalize some results obtained by Knauer and Talwar. 展开更多
关键词 s-acts PROJECTIVE ACTS INDECOMPOSABLE ACTS
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Morita Equivalence for Factorisable Semigroups 被引量:1
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作者 Yu Qun CHEN Department of Mathematics,South China Normal University,Guangzhou 510631,P.R.China E-mail:yqchen@scnu.edu.cnK.P.SHUM Department of Mathematics,The Chinese University of Hong Kong,Shatin,N.T.,Hong Kong E-mail:kpshum@math.cuhk.edu.hk 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第3期437-454,共18页
Recall that the semigroups S and R are said to be strongly Morita equivalent if there exists a unitary Morita context (S,R,<sub>S</sub>P<sub>R</sub>,<sub>R</sub>Q<sub>S</s... Recall that the semigroups S and R are said to be strongly Morita equivalent if there exists a unitary Morita context (S,R,<sub>S</sub>P<sub>R</sub>,<sub>R</sub>Q<sub>S</sub>,) with and surjective.For a factorisable semigroup S,we denote ζ<sub>S</sub>={(s<sub>1</sub>,s<sub>2</sub>)∈S×S|ss<sub>1</sub>=ss<sub>2</sub>,<sub>S</sub>∈S},S′=S/ζ<sub>S</sub> and US-FAct={<sub>S</sub>M∈ S-Act|SM=M and SHom<sub>S</sub>(S,M)≌M}.We show that,for factorisable semigroups S and R,the categories US-FAct and UR-FAct are equivalent if and only if the semigroups S′ and R′ are strongly Morita equivalent.Some conditions for a factorisable semigroup to be strongly Morita equivalent to a sandwich semigroup,local units semigroup,monoid and group separately are also given.Moreover,we show that a seinigroup S is completely simple if and only if S is strongly Morita equivalent to a group and for any index set I,SSHom<sub>S</sub>(S,<sub>i∈I</sub>S)→<sub>i∈I</sub>S,st·f(st)f is an S-isomorphism. 展开更多
关键词 CATEGORY s-acts Fact orisable semigroup Morita equivalence
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