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Some Remarks on Hom-Modules and Hom-PathAlgebras |
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Citation: |
Sujuan ZHANG,Hailou YAO.Some Remarks on Hom-Modules and Hom-PathAlgebras[J].Chinese Annals of Mathematics B,2015,36(2):213~224 |
Page view: 1995
Net amount: 1642 |
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). |
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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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