Balanced rings and a problem of Thrall

Camillo, Victor P.

doi:10.1090/S0002-9947-1970-0260794-0

Balanced rings and a problem of Thrall
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Trans. Amer. Math. Soc. 149 (1970), 143-153 Request permission

Abstract:

Balanced ring is defined and related to Thrall’s QF-1 rings. Several theorems are obtained which show that balanced rings enjoy strong homological and chain conditions. The structure of commutative balanced rings is determined. Also, the structure of commutative artinian QF-1 rings is gotten. This is a generalization of a theorem of Floyd.

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Commutative artinian

rings are