| 代数的张量积的同调满同态的构造 |
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| 引用本文： | 连颖颖,彭桢.代数的张量积的同调满同态的构造[J].数学的实践与认识,2017(8):274-278. |
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| 作者姓名： | 连颖颖 彭桢 |
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| 作者单位： | 安阳师范学院数学与统计学院,河南安阳,455002 |
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| 基金项目： | 河南省高等学校科研项目(15B110001) |
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| 摘 要： | 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fg:AB→CD也是环的同调满同态.
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| 关 键 词： | 环的满同态 张量代数 投射维数 同调满同态 |
The Construction of Homological Epimorphisms of Tensor Products of Algebras |
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| LIAN Ying-ying,PENG Zhen.The Construction of Homological Epimorphisms of Tensor Products of Algebras[J].Mathematics in Practice and Theory,2017(8):274-278. |
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| Authors: | LIAN Ying-ying PENG Zhen |
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| Abstract: | 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. |
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| Keywords: | ring epimorphism tensor algebra projective dimension homological epimorphism |
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