相关期刊:《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》《Communications in Mathematical Research》《Acta Mathematica Sinica,English Series》更多>>
supported by the National Key Research and Development Program of China(2023YFD2100403);the Agricultural Science and Technology Innovation Program of Chinese Academy of Agricultural Sciences(CAAS-ASTIP-2021-OCRI);the Earmarked Fund for CARS-14,the Innovation Group Project of Hubei Province(2023AFA042);the Key Research Projects of Hubei Province(2020BBA045);the Knowledge Innovation Program of Wuhan-Basic Research(3562).
Flaxseed milk coproduct(FMC)is a by-product of flaxseed milk.Okara is a by-product of processed soybean products.In this study,we investigated the quality of dough and Chinese steamed bread(CSB)with the addition of FM...
In 2014, Vargas first defined a super-shuffle product and a cut-box coproduct on permutations. In 2020, Aval, Bergeron and Machacek introduced the super-shuffle product and the cut-box coproduct on labeled simple grap...
A lot of combinatorial objects have a natural bialgebra structure. In this paper, we prove that the vector space spanned by labeled simple graphs is a bialgebra with the conjunction product and the unshuffle coproduct...
Supported by the Natural Science Foundation of Shandong Provience(Grant No.ZR2012AL02)。
With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct,this paper first gives some basic constructions which make sense to consider the derived functors of some left e...
A lot of combinatorial objects have algebra and coalgebra structures and posets are important combinatorial objects. In this paper, we construct algebra and coalgebra structures on the vector space spanned by posets. ...
Research supported by the National Natural Science Foundation of China(11261063,11471186,11501317);the Natural Foundation of Shandong Province(ZR2018MA012,ZR2016AQ03)
In this paper, the notion of L-R crossed coproduct is introduced as a unified approach for smash coproducts, crossed coproducts and L-R smash coproducts of Hopf algebras.A duality theorem for L-R crossed coproduct is ...
Acknowledgements This Foundation of China (Grant work was supported by Nos. 11471186, 11261063), the National Natural Science the Natural Science Foundation of Shandong Province (Nos. ZR2014AQ027 and ZR2014AQ024), and the Fund of the Key Disciplines in the General Colleges and Universities of Xin Jiang Uygur Autonomous Region (No. 2012ZDXK03).
In this paper, the notion of a twisted partial Hopf coaction is introduced. The conditions on partial cocycles are established in order to construct partial crossed coproducts. Then the classification of partial cross...
The National Natural Science Foundation of China(No.11371088,10871042,11571173);the Fundamental Research Funds for the Central Universities(No.KYLX15_0105)
Let (H, a) be a monoidal Hom-bialgebra and (B,p) be a left (H, a)-Hom-comodule coalgebra. The new monoidal Hom-algebra B#y H is constructed with a Hom-twisted product Ba[H] and a. B × H Hom-smash coproduct. M...
Supported by the National Natural Science Foundation of China(60873267);the Ningbo Natural Science Foundation of China(2011A610172);K.C.Wang Magna Fund in Ningbo University
Let (C,α) and (H, β) be Hom-bialgebras and ω : C × H → H × C a linear map. We introduce a Horn-ω-smash coproduct (Cω H, γ) and give necessary and sufficient conditions for (Cω H, γ) to be a Hom-b...
Let(C, α) and(H, β) be Hom-bialgebras and ω : C H → H C a linear map.We introduce the concept of a Hom-ω-crossed coproduct(Cω σ H, γ) and we give necessary and sufficient conditions for the new object ...