منابع مشابه
Linear equivalence of ideal topologies
It is proved that whenever P is a prime ideal in a commutative Noethe-rian ring such that the P-adic and the P-symbolic topologies are equivalent, then the two topologies are equivalent linearly. Several explicit examples are calculated, in particular for all prime ideals corresponding to non-torsion points on nonsingular elliptic cubic curves. There are many examples of prime ideals P in commu...
متن کاملGrothendieck Topologies and Ideal Closure Operations
We relate closure operations for ideals and for submodules to non-flat Grothendieck topologies. We show how a Grothendieck topology on an affine scheme induces a closure operation in a natural way, and how to construct for a given closure operation fulfilling certain properties a Grothendieck topology which induces this operation. In this way we relate the radical to the surjective topology and...
متن کاملModel pyroxenes I: Ideal pyroxene topologies
Ideal pyroxenes are hypothetical structures based on ideal closest-packed arrangements of O anions. They are modeled after observed pyroxene structures and have the general formula M2M1T2O6, where M2 and M1 represent octahedrally coordinated cations, and T represents tetrahedrally coordinated cations. An algorithm has been created to construct all possible ideal pyroxenes based on closest-packe...
متن کاملOn asymptotically double lacunary statistical equivalent sequences in ideal context
*Correspondence: [email protected] 1Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh 791112, India Full list of author information is available at the end of the article Abstract An ideal I is a family of subsets of positive integers N×N which is closed under taking finite unions and subsets of its elements. In this paper, we present some definitions w...
متن کاملEquivalent Banach Operator Ideal Norms 1
Let X,Y be Banach spaces and consider the w′-topology (the dual weak operator topology) on the space (L(X,Y ), ‖.‖) of bounded linear operators from X into X with the uniform operator norm. L ′ (X,Y ) is the space of all T ∈ L(X,Y ) for which there exists a sequence of compact linear operators (Tn) ⊂ K(X,Y ) such that T = w′ − limnTn. Financial support from the National Council for Science and ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1986
ISSN: 0022-4049
DOI: 10.1016/0022-4049(86)90101-5