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On isomorphisms of integral table algebras

On isomorphisms of integral table algebras
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摘要 For integral table algebras with integral table basis T, we can consider integral R-algebra RT over a subring R of the ring of the algebraic integers. It is proved that an R-algebra isomorphism between two integral table algebras must be an integral table algebra isomorphism if it is compatible with the so-called normalizings of the integral table algebras. For integral table algebras with integral table basisT, we can consider integralR-algebraRT over a subringR of the ring of the algebraic integers. It is proved that anR-algebra isomorphism between two integral table algebras must be an integral table algebra isomorphism if it is compatible with the so-called normalizings of the integral table algebras
作者 樊恽 孙大英
出处 《Science China Mathematics》 SCIE 2002年第8期998-1005,共8页 中国科学:数学(英文版)
基金 This work was supported by the National Program for the Major Basic SciencesResearches of China.
关键词 INTEGRAL TABLE algebra INTEGRAL TABLE ALGEBRA isomorphism CHARACTERISTIC matrix. integral table algebra integral table algebra isomorphism characteristic matrix
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参考文献1

  • 1Weidman,D. R.The character ring of a finite group, Illinois J[].Mathematica Journal.1966

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