Call for Papers for the 27th International Conference on Intuitionistic Fuzzy Sets is now open!
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Conference: 5–6 July 2024, Burgas, Bulgaria • EXTENDED DEADLINE for submissions: 15 APRIL 2024.
Issue:Radical structures of intuitionistic fuzzy polynomial ideals of a ring: Difference between revisions
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| abstract = In this paper we investigate the radical structure of an intuitionistic fuzzy polynomial ideal | | abstract = In this paper we investigate the radical structure of an intuitionistic fuzzy polynomial ideal <math>A_x</math> induced by an intuitionistic fuzzy ideal <math>A</math> of a ring and study its properties. Given an intuitionistic fuzzy ideal <math>B</math> of a ring <math>R^{\prime}</math> and a homomorphism <math>f : R \rightarrow R^{\prime}</math>, we show that if <math>f_x : R[x] \rightarrow R^{\prime}[x]</math> is the induced homomorphism of <math>f</math>, that is, <math>f_x (\sum_{i = 0}^n a_i^{x_i}) = \sum_{i = 0}^n (f(a_i)) x_i</math>, then <math>f_x^{-1} [(\sqrt{B})_x] = (\sqrt{f^{-1}(B)})_x</math>. | ||
Latest revision as of 16:42, 18 December 2018
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