排序方式: 共有15条查询结果,搜索用时 93 毫秒
1.
2.
3.
Helmut Röhrl 《Applied Categorical Structures》2000,8(1-2):257-269
In this paper we formalize the concept of absolutely convergent infinite series by introducing the notion of prenormed R-semimodule with N-summation, where N is an arbitrary class. The morphisms between such semimodules are the contractive homomorphisms of R-semimodules that `preserve" N-summation. The category
R
Smod
1 N
of all prenormed R-semimodules with N-summation and their morphisms (composition being the set-theoretical one) fails to be an algebraic category. However, under quite general conditions it is both complete and cocomplete. 相似文献
4.
In this paper we characterize semirings all of whose p-injective semimodules are injective. We also classify monoids all of whose p-injective acts are injective. 相似文献
5.
6.
7.
G. B. Shpiz 《Mathematical Notes》2007,82(3-4):410-417
In this paper, we prove an eigenvector existence theorem for linear operators on abstract idempotent spaces in the framework of the algebraic approach. Earlier, an algebraic version of a similar statement was known only for operators in free finite-dimensional semimodules. The corresponding result for compact operators in semimodules of real continuous functions is known in the case of topological semimodules. 相似文献
8.
9.
61.FundamentalConceptsDefinitionlSupposef:A-Bisamapping,defineKer.f={(x,y)Ix,yeA,f(x)=f(y)}Im'f=lBU(ImfXImf)Lemma1lff:A-Bisamappingg,tl1enKer'fisA)secluivalencerelation,In1'j.isB,sequivalencerelation.Theproofiseasy,weomitithere.Definition2ThelimitedsequenceofR-semimoduleI1omomorphism-flf2f3f.-lf"A.-A,-A=-.-'-A"-,-A"iscalled*exact,ifIm.f=Ker'f-,(1semimodule,theelemente6MscalledM,sfixedidempotentelement,ifeis(M, ),sidempotente1ement,andVreR,,i=e.Obvio… 相似文献
10.
We introduce the notion of a Schreier internal category in the category of monoids and prove that the category of Schreier internal categories in the category of monoids is equivalent to the category of crossed semimodules. This extends a well-known equivalence of categories between the category of internal categories in the category of groups and the category of crossed modules. 相似文献