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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2020 Volume 492, Pages 69–74 (Mi znsl6946)

A note on generalized semicommutative rings

A. I. Generalov, I. M. Zilberbord

St. Petersburg State University, Mathematics and Mechanics Faculty

Abstract: In this note we extend and generalize some results of the paper of D. Roy and T. Subedi (Vestnik of St. Petersburg State University. Series 1. Mathematics. Mechanics. Astronomy, vol. 7 (65), issue 1, 2020), concerning generalized semicommutative subrings of matrix rings.

Key words and phrases: generalized semicommutative ring, matrix ring, subring, nilpotent ideal, local ring, idempotent.

UDC: 512.552

Received: 17.06.2020



© Steklov Math. Inst. of RAS, 2024