Anna Maria Bigatti,Philippe Gimenez,Eduardo Sáenz-de-Cabezón's Monomial Ideals, Computations and Applications (Lecture PDF

By Anna Maria Bigatti,Philippe Gimenez,Eduardo Sáenz-de-Cabezón

ISBN-10: 3642387411

ISBN-13: 9783642387418

This paintings covers 3 vital elements of monomials beliefs within the 3 chapters "Stanley decompositions" via Jürgen Herzog, "Edge beliefs" by way of Adam Van Tuyl and "Local cohomology" by way of Josep Álvarez Montaner. The chapters, written through most sensible specialists, contain machine tutorials that emphasize the computational facets of the respective parts. Monomial beliefs and algebras are, in a feeling, one of the easiest buildings in commutative algebra and the most gadgets of combinatorial commutative algebra. additionally, they're of significant value for a minimum of 3 purposes. to begin with, Gröbner foundation conception permits us to regard sure difficulties on common polynomial beliefs via monomial beliefs. Secondly, the combinatorial constitution of monomial beliefs connects them to different combinatorial buildings and permits us to unravel difficulties on each side of this correspondence utilizing the innovations of every of the respective parts. And thirdly, the combinatorial nature of monomial beliefs additionally makes them rather like minded to the advance of algorithms to paintings with them after which generate algorithms for extra normal structures.

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Monomial Ideals, Computations and Applications (Lecture Notes in Mathematics) by Anna Maria Bigatti,Philippe Gimenez,Eduardo Sáenz-de-Cabezón


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