Indecomposables as Elements in Affine Composition Algebras |
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| Authors: | Pu Zhang Shun-Hua Zhang |
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| Institution: | aDepartment of Mathematics, University of Science and Technology of China, Hefei, 230026, Peoples Republic of Chinaf1;bDepartment of Mathematics, Shandong University, Jinan, 250100, Peoples Republic of China |
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| Abstract: | LetAbe a path algebra of tame type over a finite field, letMbe an indecomposableA-module, and let  (A) be the composition algebra ofA. The main result in this paper is that M] ∈  (A) if and only ifMis a stone, i.e., Ext1A(M, M) = 0. |
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