利用同调代数的方法,讨论关于半对偶模W的余自反模类Cor W(R)和伴随余自反模类Acor W(R)的若干性质,其中Cor W(R)表示所有自然同态v N:W R Hom R(W,N)→N为同构的模N组成的类,Acor W(R)表示所有自然同态u M:M→Hom R(W,W R M)为同构的模...利用同调代数的方法,讨论关于半对偶模W的余自反模类Cor W(R)和伴随余自反模类Acor W(R)的若干性质,其中Cor W(R)表示所有自然同态v N:W R Hom R(W,N)→N为同构的模N组成的类,Acor W(R)表示所有自然同态u M:M→Hom R(W,W R M)为同构的模M组成的类.研究模U的Cor W(R)-覆盖与模Hom R(W,U)的Acor W(R)-覆盖之间的关系,以及模U的Acor W(R)-包络与模W R U的Cor W(R)-包络之间的关系.进而证明了在特定条件下,Hom R(W,U)的Acor W(R)-投射维数小于等于U的Cor W(R)-投射维数,并且W R U的Cor W(R)-投射维数小于等于U的Acor W(R)-投射维数.展开更多
In this paper, we study some categoricities of reflexivity and coreflexivity. The main results are as follows: (1). A and C are a pair of equivalent categories.(2). Reflexivity and coreflexivity can be extended as m...In this paper, we study some categoricities of reflexivity and coreflexivity. The main results are as follows: (1). A and C are a pair of equivalent categories.(2). Reflexivity and coreflexivity can be extended as mentioned in the paper. Those can be used to simplify and generalize some results of .展开更多
文摘In this paper, we study some categoricities of reflexivity and coreflexivity. The main results are as follows: (1). A and C are a pair of equivalent categories.(2). Reflexivity and coreflexivity can be extended as mentioned in the paper. Those can be used to simplify and generalize some results of .
