Jerome William Hoffman, Xiaohong Jia, Haohao Wang. Source: Journal of Commutative Algebra, Volume 12, Number 2, 237--261.Abstract: A quaternion rational surface is a rational surface generated by two rational space curves via quaternion multiplication. In general, the structure of the graded...

Tadahito Harima, Akihito Wachi, Junzo Watanabe. Source: Journal of Commutative Algebra, Volume 12, Number 2, 217--235.Abstract: We compute the resultants for quadratic binomial complete intersections. As an application we show that any quadratic binomial complete intersection can have the set of...

Federico Galetto. Source: Journal of Commutative Algebra, Volume 12, Number 2, 199--215.Abstract: An explicit construction is given of a minimal free resolution of the ideal generated by all squarefree monomials of a given degree. The construction relies upon and exhibits the natural action of the...

Stefania Gabelli, Moshe Roitman. Source: Journal of Commutative Algebra, Volume 12, Number 2, 179--198.Abstract: Among other results, we prove the following: A locally Archimedean stable domain satisfies accp. A stable domain R is Archimedean if and only if every nonunit of R ...

Colby Long. Source: Journal of Commutative Algebra, Volume 12, Number 1, 91--105.Abstract: We explore the relationship between secant ideals and initial ideals of [math] , the ideal of the Grassmannian, [math] . The [math] -secant of [math] is the ideal generated by the [math] subpfaffians of a...

Christian Gottlieb. Source: Journal of Commutative Algebra, Volume 12, Number 1, 87--90.Abstract: Let [math] be an integral domain, and let [math] be overrings of [math] , where [math] is of the form [math] , where [math] for some prime ideals [math] , and where each [math] , [math] , is of the...

Alex Fink, David E. Speyer, Alexander Woo. Source: Journal of Commutative Algebra, Volume 12, Number 1, 77--86.Abstract: Given the complement of a hyperplane arrangement, let [math] be the closure of the graph of the map inverting each of its defining linear forms. The characteristic polynomial...

Douglas J. Dailey, Srikanth B. Iyengar, Thomas Marley. Source: Journal of Commutative Algebra, Volume 12, Number 1, 71--76.Abstract: It is proved that a module [math] over a Noetherian ring [math] of positive characteristic [math] has finite flat dimension if there exists an integer [math] such...

Marilena Crupi. Source: Journal of Commutative Algebra, Volume 12, Number 1, 53--70.Abstract: Let [math] be a polynomial ring in [math] variables over a field [math] of any characteristic. Let [math] be a strongly stable submodule of a finitely generated graded free [math] -module [math] , with...

Gyu Whan Chang. Source: Journal of Commutative Algebra, Volume 12, Number 1, 27--51.Abstract: Let [math] be an integral domain with quotient field [math] , [math] be an indeterminate over [math] , [math] be the power series ring over [math] , and [math] be the ideal of [math] generated by the...