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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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Algebraic methods for evaluating integrals In Bayesian statistics
TL;DR: This dissertation proves that a model is put in standard form if the authors monomialize the corresponding fiber ideal, and describes how to compute the full asymptotics of the marginal likelihood integral by monomializing the associated fiber ideal.
Book
Soft Neutrosophic Algebraic Structures and Their Generalization, Vol. 2
TL;DR: In this article, the authors define several new types of soft neutrosophic algebraic structures over N-algebraic structures and study their generalizations, which are basically parameterized collections of neutrosphic subalgebraics structures of the N-Algebraic structure.
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Powers of sums and their homological invariants
Hop D. Nguyen,Thanh Vu +1 more
TL;DR: In this article, the authors investigated several important homological invariants of powers of P$ based on the information about $I$ and $J, with focus on finding the exact formulas for these invariants.
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On the complexity of computing Gröbner bases for weighted homogeneous systems
TL;DR: It is shown that taking advantage of the weighted homogeneous structure can yield substantial speed-ups, and allows us to solve systems which were otherwise out of reach.
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Flat ideals and stability in integral domains
TL;DR: The concept of quasi-stable ideal in integral domains was introduced in this paper, where a nonzero fractional ideal I of an integral domain D is quasistable if it is flat in its endomorphism ring (I : I ).
References
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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: