| Azumaya代数的张量积的PI－类数 |
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| 引用本文： | 游松发. Azumaya代数的张量积的PI－类数[J]. 湖北大学学报(自然科学版), 1994, 0(3) |
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| 作者姓名： | 游松发 |
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| 摘 要： | 证明了下述重要定理：假设Ｒ１，Ｒ２是任意交换环Ｃ上的代数，且Ｒ１，Ｒ２分别为它们的中心Ｚ１，Ｚ２上的Ａｚｕｍａｙａ代数，则有ｄｅｇ（Ｒ１ｃＲ２）＝ｄｅｇ（Ｒ１）·ｄｅｇ（Ｒ２）其中ｄｅｇ（Ｂ）为Ｒ的ＰＩ－类数．
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| 关 键 词： | Azumaya代数，PI－类数，中心多项式，中心局部化，泛矩阵代数 |
PI-CLASSES OF TENSOR PRODUCTS OF AZUMAYA ALGEBRAS |
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| You Songfa. PI-CLASSES OF TENSOR PRODUCTS OF AZUMAYA ALGEBRAS[J]. Journal of Hubei University(Natural Science Edition), 1994, 0(3) |
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| Authors: | You Songfa |
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| Affiliation: | Section of Scientific Research |
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| Abstract: | In this paper,the following result is proved.Suppose R 1,R2 are two algebras over arbitrary commutative ring C,and R 1,R2 are A zumaya algebras over their centers Z1,Z2 respectively, then we have des(R,R2)=deg(R1).deg(R2)where deg(R)is the PI-class of R. |
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| Keywords: | Azumaya algebra PI-class Central polynomial Central localize Algebra of generic matrx |
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