MATH200C, LECTURE 7 Localization We were proving the following: Lemma 1. Let f : A → S −1A, f(a) := a/1. Then f ∗ induces
A REMARK ON THE SUM AND THE INTERSECTION OF TWO NORMAL IDEALS IN AN ALGEBRA Let F be a quotient field of a commutative domain of
PMATH 646: INTRODUCTION TO COMMUTATIVE ALGEBRA NOTES 1. January 06 Throughout this course, we will assume that R is a commutativ
THE DEDEKIND-MERTENS LEMMA AND THE CONTENTS OF POLYNOMIALS 1. Introduction Let R be a commutative ring and let t be an indetermi
A GENERALIZED DEDEKIND–MERTENS LEMMA AND ITS CONVERSE 1. Introduction Let R be a commutative ring and let t be an indeterminat
PROBLEM SET 2 All rings are commutative with 1. 1. Regular problems 1.1. Show that a basis for a module is necessarily a minimal
![PDF) A generalized Dedekind-Mertens lemma and its converse | William Heinzer and Alberto Corso - Academia.edu PDF) A generalized Dedekind-Mertens lemma and its converse | William Heinzer and Alberto Corso - Academia.edu](https://0.academia-photos.com/attachment_thumbnails/42616910/mini_magick20190217-8883-ug3bm9.png?1550427169)