Jacobian Dual Fibrations
Copyright policy )Jacobian Dual Fibrations
This paper is devoted to study a series of ``Jacobian duality phenomena'' for the symmetric algebra \(S(E)\) of a module \(E\) over a ring of polynomials. Two cases are mainly considered: the case when the dual of the module \(E\) is an ideal of codimension at least two, and the case of modules whose second Betti number is one. A series of applications are included; among them one obtains a large class of new factorial domains.
Polynomial rings and ideals; rings of integer-valued polynomials, ring of polynomials, Structure, classification theorems for modules and ideals in commutative rings, Jacobian duality, symmetric algebra, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), factorial domains
Polynomial rings and ideals; rings of integer-valued polynomials, ring of polynomials, Structure, classification theorems for modules and ideals in commutative rings, Jacobian duality, symmetric algebra, Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial), factorial domains
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