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MMN-1364

A note on algebraic extensions modulo I

Basma Gasmi; Noômen Jarboui;

Abstract

Let I be a nonzero ideal of a ring T, let φ : T → E := T/I denote the canonical projection, let D be a ring contained in E, and let R = φ−1(D). The main purpose of this paper is to characterize when the ring extension R ⊂ T is n- (resp., universally) algebraic modulo I in case I is an intersection of finitely many maximal ideals of T.


Vol. 16 (2015), No. 1, pp. 145-150
DOI: https://doi.org/10.18514/MMN.2015.1364


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