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Structure of right
subdirectly irreducible rings. II
M. G. Deshpande |
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Vol. 42 (1972), No. 1, 39–44
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Abstract |
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The object of this paper is to determine the structure and properties of right subdirectly irreducible rings which are either local or self-injective. The rings in the latter class form a special case of the so-called right PF rings. By employing the notion of Feller’s X-rings, it is proved that right PF X-rings are finite direct sums of full matrix rings over self-injective right subdirectly irreducible rings. Thus, whether or not right PF X-rings are left PF depends on the answer to the same question for the more elementary case of self-injective right subdirectly irreducible rings. |
Mathematical Subject Classification
Primary: 16A48
Secondary: 16A52
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Milestones
Received: 12 January 1971
Revised: 16 June 1971
Published: 1 July 1972
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Authors |
| M. G. Deshpande | |
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