Tag Archives: picard group

Commutative Algebra 47

Posted on May 5, 2020 by limsup

Minkowski Theory: Introduction Suppose is a finite extension and is the integral closure of in K. In algebraic number theory, there is a classical method by Minkowski to compute the Picard group of (note: in texts on algebraic number theory, this … Continue reading →

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

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