The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 1261 –
1280 of
2842
Let be a commutative ring with unity. The notion of maximal non -subrings is introduced and studied. A ring is called a maximal non -subring of a ring if is not a -extension, and for any ring such that , is a -extension. We show that a maximal non -subring of a field has at most two maximal ideals, and exactly two if is integrally closed in the given field. A determination of when the classical construction is a maximal non -domain is given. A necessary condition is given...
A domain R is called a maximal non-Jaffard subring of a field L if R ⊂ L, R is not a Jaffard domain and each domain T such that R ⊂ T ⊆ L is Jaffard. We show that maximal non-Jaffard subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dimv R = dim R + 1. Further characterizations are given. Maximal non-universally catenarian subrings of their quotient fields are also studied. It is proved that this class of domains coincides with the previous class when R is integrally...
The notion of maximal non-pseudovaluation subring of an integral domain is introduced and studied. Let be an extension of domains. Then is called a maximal non-pseudovaluation subring of if is not a pseudovaluation subring of , and for any ring such that , is a pseudovaluation subring of . We show that if is not local, then there no such exists between and . We also characterize maximal non-pseudovaluation subrings of a local integral domain.
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane.The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives.This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted...
Let R be a commutative noetherian ring, let be an ideal of R, and let be a subcategory of the category of R-modules. The condition , defined for R-modules, was introduced by Aghapournahr and Melkersson (2008) in order to study when the local cohomology modules relative to belong to . In this paper, we define and study the class consisting of all modules satisfying . If and are ideals of R, we get a necessary and sufficient condition for to satisfy and simultaneously. We also find some sufficient...
A combinatorial description of the minimal free resolution of a lattice ideal allows us to the connection of Integer Linear Programming and Al1gebra. The non null reduced homology spaces of some simplicial complexes are the key. The extremal rays of the associated cone reduce the number of variables.
Currently displaying 1261 –
1280 of
2842