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An elaboration of annihilators of polynomials. (English) Zbl 1383.16036
Summary: 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.
MSC:
16U80 Generalizations of commutativity (associative rings and algebras)
16S36 Ordinary and skew polynomial rings and semigroup rings
13A15 Ideals and multiplicative ideal theory in commutative rings
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