Quiver approach to some ordered semigroup algebras |
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| Authors: | Haiyan Zhu Fang Li |
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| Affiliation: | 1. Department of Mathematics, Zhejiang University of Technology, Zhejiang, China;2. School of Mathematical Sciences, Zhejiang University, Zhejiang, China |
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| Abstract: | The aim of this paper is to research the relation among generalized path algebras, pseudo-admissible ordered semigroup algebras and path algebras over algebras. First, the Gabriel theorem for contract pseudo-admissible ordered semigroup algebras is given. Second, a family of pseudo-admissible ordered semigroups is mixed together via the method of generalized path algebras to construct a new pseudo-admissible ordered semigroup as the extended version. Finally, we characterize the path algebra over an algebra in two ways through normal and non-normal generalized path algebras, respectively, over a field. |
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| Keywords: | Gabriel theorem generalized path algebra ordered semigroup path algebra over algebra quiver |
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