代数的张量积的同调满同态的构造

The Construction of Homological Epimorphisms of Tensor Products of Algebras

利用已知的代数的同调满同态来构造其张量积代数的同调满同态.设A,B,C,D是域k上的有限维代数,如果环同态f:A→C和g:B→D是环的同调满同态,则fg:AB→CD也是环的同调满同态.

In this paper the homological epimorphisms between tensor products of algebras will be constructed from the known ones between finite dimensional algebras. Let A, B, C, D be finite dimensional algebras over a field k. If the ring homomorphisms f ： A → C and g ： B → D are homological ring epimorphisms, then f × g ： A × B → C ×D is a homological epimorphism too.