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Alternative rings in which every proper right ideal is maximal. (English) Zbl 0545.17005

The structure of the rings in the title is completely described. This generalizes results of J. Luh [ibid. 91, 183-188 (1976; Zbl 0337.16007)] and F. I. Perticani [ibid. 71, 193-198 (1971; Zbl 0223.13012)] obtained for the appropriate classes of commutative and associative rings, respectively.

MSC:

17D05 Alternative rings

Keywords:

structure
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