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Commutative Algebra I
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A compilation of two sets of notes at the University of Kansas was published in the Spring of 2002 by?? and the other in the spring of 2007 by Branden Stone.Abstract:
1 A compilation of two sets of notes at the University of Kansas; one in the Spring of 2002 by ?? and the other in the Spring of 2007 by Branden Stone. These notes have been typedread more
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Symbolic Rees algebras
Eloísa Grifo,Alexandra Seceleanu +1 more
TL;DR: In this paper, the symbolic Rees algebra of an ideal is used as a tool to investigate its symbolic powers and as a source of challenging problems in its own right, and several open questions are raised.
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Coherent and strongly discrete rings in type theory
TL;DR: A formalization of coherent and strongly discrete rings in type theory, which is a fundamental structure in constructive algebra that represents rings in which it is possible to solve linear systems of equations.
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Another canonical compactification of the moduli space of abelian varieties
TL;DR: In this paper, the authors constructed a canonical compactification of the moduli space of abelian varieties by adding certain reduced singular varieties along the boundary of the abelians.
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Idempotent Pairs and PRINC Domains
TL;DR: In this paper it was shown that in an order R of a Dedekind domain every regular prime ideal can be generated by an idempotent pair; moreover, if R is PRINC, then its integral closure, which is a PID, is also a PID.
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Ideals in the Enveloping Algebra of the Positive Witt Algebra
TL;DR: In this paper, the authors studied the two-sided ideal structure of the universal enveloping algebra U(W+) of W+ and showed that if I is a (two-sided) ideal of U (W+) generated by quadratic expressions in the ei, then U(w+)/I has finite Gelfand-Kirillov dimension, and such ideals satisfy the ascending chain condition.
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Book
Introduction to Commutative Algebra
TL;DR: It is shown here how the Noetherian Rings and Dedekind Domains can be transformed into rings and Modules of Fractions using the following structures: