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- W2164869639 abstract "The studies of reversible and $2$-primal rings have done important roles in noncommutative ring theory. We in this note introduce the concept of {it quasi-reversible-over-prime-radical} (simply, {it QRPR}) as a generalization of the $2$-primal ring property. A ring is called {it QRPR} if $ab=0$ for $a, bin R$ implies that $ab$ is contained in the prime radical. In this note we study the structure of QRPR rings and examine the QRPR property of several kinds of ring extensions which have roles in noncommutative ring theory." @default.
- W2164869639 created "2016-06-24" @default.
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- W2164869639 date "2014-06-30" @default.
- W2164869639 modified "2023-09-23" @default.
- W2164869639 title "REVERSIBILITY OVER PRIME RADICALS" @default.
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- W2164869639 doi "https://doi.org/10.11568/kjm.2014.22.2.279" @default.
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