Some Remarks on Hom-Modules and Hom-PathAlgebras

Citation:

Sujuan ZHANG,Hailou YAO.Some Remarks on Hom-Modules and Hom-PathAlgebras[J].Chinese Annals of Mathematics B,2015,36(2):213~224
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Authors:

Sujuan ZHANG; Hailou YAO;

Foundation:

the National Natural Science Foundation of China (Nos. 11271119, 11201314) and the Natural Science Foundation of Beijing (No. 1122002).
Abstract: This paper deals with injective and projective right Hom-H-modules for a Hom-algebra H. In particular, Baer Criterion of injective Hom-module is obtained, and it is shown that HomModH is an Abelian category. Next, the authors define Hom-path algebras and construct Hom-path algebras of some quivers.

Keywords:

Hom-Module, Hom-Algebra, Quiver

Classification:

16G20, 16D99, 17A30
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