In this note, we provide an effective proof of the fundamental structure theorem of finitely generated modules over a principal ideal domain, from which we find the minimality of decomposition for a finitely generated...In this note, we provide an effective proof of the fundamental structure theorem of finitely generated modules over a principal ideal domain, from which we find the minimality of decomposition for a finitely generated module over a principal ideal domain.展开更多
In this paper,the authors define the homology of sets,which comes from and contains the ideas of path homology and embedded homology.Moreover,A Kunneth formula for sets associated to the homology of sets is given.
文摘In this note, we provide an effective proof of the fundamental structure theorem of finitely generated modules over a principal ideal domain, from which we find the minimality of decomposition for a finitely generated module over a principal ideal domain.
基金supported by the National Natural Science Foundation of China(No.12001310)Science and Technology Project of Hebei Education Department(No.QN2019333)+2 种基金the Natural Fund of Cangzhou Science and Technology Bureau(No.197000002)a Project of Cangzhou Normal University(No.xnjjl1902)China Postdoctoral Science Foundation(No.2020M680494)。
文摘In this paper,the authors define the homology of sets,which comes from and contains the ideas of path homology and embedded homology.Moreover,A Kunneth formula for sets associated to the homology of sets is given.
