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We in this note introduce the concept of semi-IFP rings which is a generalization of IFP rings. We study the basic structure of semi-IFP rings, and construct suitable examples to the situations raised naturally in the process. We also show that the semi-IFP does not go up to polynomial rings.
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참고문헌 (13)
참고문헌 신청
E.P. Armendariz / 1974 / A note on extensions of Baer and P.P.-rings / J. Austral. Math. Soc 18:470~473
H.E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
G.F. Birkenmeier / 1993 / Completely prime ideals and asso-ciated radicals / Proc. Biennial Ohio State-Denison Conference 1992 :102~129
Y.U. Cho / 2006 / Classical quotient rings and ordinary extensions of 2-primal rings / Algebra Colloq 13:513~523
K.R. Goodearl / 1979 / Von Neumann Regular Rings / Pitman
H.E. Bell / 1970 / Near-rings in which each element is a power of itself / Bull. Austral. Math. Soc 2:363~368
G.F. Birkenmeier / 1993 / Completely prime ideals and asso-ciated radicals / Proc. Biennial Ohio State-Denison Conference 1992 :102~129
Y.U. Cho / 2006 / Classical quotient rings and ordinary extensions of 2-primal rings / Algebra Colloq 13:513~523
K.R. Goodearl / 1979 / Von Neumann Regular Rings / Pitman
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