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Tag Archives: picard group
Commutative Algebra 47
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
Commutative Algebra 44
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 nonzero … Continue reading
Posted in Advanced Algebra
Tagged fractional ideals, ideal division, invertible ideals, localization, picard group, principal ideals
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