Generalized classical quotient rings

V. P. Elizarov


Abstract: We find necessary and sufficient conditions for a generalized classical quotient ring to be a principal ideal ring, a local ring, or a completely primary ring. As corollaries, the corresponding results are obtained for classical quotient rings.

UDC: 519.4

Received: 09.03.1971

 English version: Mathematical Notes, 1972, 11:6, 412–416

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