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In this note we describe some classes of rings in relation to Abelian property of factorizations by nilradicals and Jacobson radical. The ring theoretical structures are investigated for various sorts of such factor rings which occur in the process.
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참고문헌 (20)
참고문헌 신청
S.A. Amitsur / 1956 / Radicals of polynomial rings / Canad. J. Math 8:355~361
D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26:2265~2272
R. Antoine / 2008 / Nilpotent elements and Armendariz rings / J. Algebra 319:3128~3140
E.P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc 18:470~473
G.F. Birkenmeier / 1994 / A connection between weak regularity and the simplicity of prime factor rings / Proc. Amer. Math. Soc 122:53~58
D. Anderson / 1998 / Armendariz rings and Gaussian rings / Comm. Algebra 26:2265~2272
R. Antoine / 2008 / Nilpotent elements and Armendariz rings / J. Algebra 319:3128~3140
E.P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc 18:470~473
G.F. Birkenmeier / 1994 / A connection between weak regularity and the simplicity of prime factor rings / Proc. Amer. Math. Soc 122:53~58
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