排序方式: 共有39条查询结果,搜索用时 328 毫秒
1.
In this paper, we construct a cocylindrical object associated to two coal-gebras and a cotwisted map. It is shown that there exists an isomorphism between the cocyclic object of the crossed coproduct c... 相似文献
2.
Jia Gui ZHU 《数学学报(英文版)》2005,21(3):563-568
Let H be a finite dimensional cosemisimple Hopf algebra, C a left H-comodule coalgebra and let C = C/C(H^*)^+ be the quotient coalgebra and the smash coproduct of C and H. It is shown that if C/C is a eosemisimple coextension and C is an injective right C-comodule, then gl. dim(the smash coproduct of C and H) = gl. dim(C) = gl. dim(C), where gl. dim(C) denotes the global dimension of coalgebra C. 相似文献
3.
郑艳霞 《数学的实践与认识》2014,(9)
研究了超滤函子余代数范畴set_(F_u)的乘积和余积问题.首先构造了集合乘积上的超滤,讨论集合乘积上超滤的存在形式;接着利用超滤函子的性质给出了范畴set_(F_u)的有限乘积以及任意余积构造;最后证明了范畴set_(F_u)的终对象存在.改进了Gumm关于滤子函子的研究结果,深化了相关文献关于超滤函子余代数的研究. 相似文献
4.
The purpose of this paper is to study coproducts in the category MFrm (resp. McFrm), of metric -frames and uniform (resp. contractive) -frame maps. First, by applying the same technic that was used to find coproducts in Frm, we construct coproducts in the category Frm of -frames and -frame maps. Then, we define a metric diameter on the coproduct in Frm of a family of metric -frames and show that coproduct in Frm preserves metrizability.Mathematics Subject Classifications (2000) 06B23, 06D22, 18A30. 相似文献
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6.
Shuan-Hong Wang 《代数通讯》2013,41(1):77-101
A ring R is called “semicommutative” if any right annihilator over R is an ideal of R. We show that special subrings of upper triangular matrix rings over a reduced ring are maximal semicommutative. Consequently, new families of semicommutative rings are presented. 相似文献
7.
由一种新方法给出了L-R smash余积的Mashke定理,并研究了L-R扭曲余积与左(右)扭曲偶的关系. 相似文献
8.
本文在学习[1,2]之后,首先给出了扭曲余积关于量子余交换的一个重要性质;在学习[3]之后,又证明了广义相关Hopf模的对偶模仍是广义相关Hopf模,从而推广了[3]中的相关结论. 相似文献
9.
Jonathan David Farley 《Acta Mathematica Hungarica》2006,112(4):269-273
Summary It is shown that, if two bounded distributive lattices satisfy the join-infinite distributive law (JID), then their coproduct
also satisfies this law. In 1986, Yaqub proved that generalized Post algebras with a finite lattice of constants satisfy JID,
and stated that, in general, it is not known whether a generalized Post algebra satisfies JID when its lattice of constants
satisfies JID. In this note, the statement is proved. 相似文献
10.
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 to be a Hom-Hopf algebra. 相似文献