This paper deals with injective and projective right HomH-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that Hom Mod H is an Abelian category. Next, th...This paper deals with injective and projective right HomH-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that Hom Mod H is an Abelian category. Next, the authors define Hom-path algebras and construct Hom-path algebras of some quivers.展开更多
基金Supported by Guangxi Science Foundation(2011GXNSFA018144)the Scientific Research Foundation of Guangxi Educational Committee(200911MS145)2012 Guangxi New Century Higher Education Teaching Reform Project(2012JGA162)
基金supported by the National Natural Science Foundation of China(Nos.11271119,11201314)the Natural Science Foundation of Beijing(No.1122002)
文摘This paper deals with injective and projective right HomH-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that Hom Mod H is an Abelian category. Next, the authors define Hom-path algebras and construct Hom-path algebras of some quivers.
