Frobenius extensions of QF-3 rings

Kitamura, Yoshimi

doi:10.1090/S0002-9939-1980-0572295-2

Frobenius extensions of QF-$3$ rings
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by Yoshimi Kitamura

Proc. Amer. Math. Soc. 79 (1980), 527-532

DOI: https://doi.org/10.1090/S0002-9939-1980-0572295-2

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Abstract:

We investigate the inheritance of QF-3 property for ring extensions, mainly, for Frobenius extensions. Let A be a ring with identity. It is proved that a group ring $A[G]$ of A with a finite group G is left QF-3 iff A is left QF-3 and that in case A is a. G-Galois extension of the fixed subring ${A^G}$ relative to a finite group G of ring automorphism of A, A is left QF-3 iff ${A^G}$ is left QF-3.

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