Frontiers of Mathematics in China >
Constructing cotorsion pairs over generalized path algebras
Received date: 05 Dec 2015
Accepted date: 17 Mar 2016
Copyright
We introduce two adjoint pairs and and give a new method to construct cotorsion pairs. As applications, we characterize all projective and injective representations of a generalized path algebra and exhibit projective and injective objects of the category which is a generalization of monomorphisms category.
Key words: Cotorsion pair; representation; generalized path algebra
Haiyan ZHU . Constructing cotorsion pairs over generalized path algebras[J]. Frontiers of Mathematics in China, 2016 , 11(4) : 1079 -1096 . DOI: 10.1007/s11464-016-0563-6
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