Monthly Archives: May 2020

Commutative Algebra 44

Posted on May 2, 2020 by limsup

Fractional Ideals Throughout this article, let A be an integral domain and K its field of fractions. We do not assume the ring to be noetherian. The objective here is to develop the theory of multiplying and dividing certain classes of non-zero … Continue reading →

Posted in Advanced Algebra | Tagged , , , , , | 5 Comments

Commutative Algebra 43

Posted on May 1, 2020 by limsup

Catenary Rings Let us look at prime chains in greater detail. Definition. Let be a chain of prime ideals of a ring A. We say the chain is saturated if for any prime ideal of A, ; maximal if it … Continue reading →

Posted in Advanced Algebra | Tagged , , , , | 2 Comments