三角Monomial代数的张量积

Tensor Products of Triangular Monomial Algebras

考虑三角monomial代数的张量积及其箭图刻画.进一步地,通过箭图表示,讨论代数A、B与扩张代数A kB之间模的关系,包括不可分解模、投射模、内射模、平坦模等.

The tensor product of triangular monomial algebras and the characterization of its quivers are considered. Moreover, the relations between the modules of the original algebras A,B and the one of new extension algebra A×kB are dicussed by the representations of quivers, such as indecomposable modules , projective modules , injective modules, flat modules and so on .