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In this note we elaborate first on well-known theorems for annihilators of polynomials over IFP rings by investigating the concrete shapes of nonzero constant annihilators. We consider next a generalization of IFP which preserves Abelian property, in relation with annihilators of polynomials, observing the basic structure of rings satisfying such condition.
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참고문헌 (26)
참고문헌 신청
A. Smoktunowicz / 2000 / Polynomial rings over nil rings need not be nil / J. Algebra 233 (2) : 427 ~ 436
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167 (1) : 37 ~ 52
C. Huh / 2004 / Examples of strongly -regular rings / J. Pure Appl. Algebra 189 (1-3) : 195 ~ 210
C.Y. Hong / 2000 / On minimal strongly prime ideals / Comm. Algebra 28 (10) : 4867 ~ 4878
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Huh / 2002 / p.p. rings and generalized p.p. rings / J. Pure Appl. Algebra 167 (1) : 37 ~ 52
C. Huh / 2004 / Examples of strongly -regular rings / J. Pure Appl. Algebra 189 (1-3) : 195 ~ 210
C.Y. Hong / 2000 / On minimal strongly prime ideals / Comm. Algebra 28 (10) : 4867 ~ 4878
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