منابع مشابه
Dense lattices as Hermitian tensor products
Using the Hermitian tensor product description of the extremal even unimodular lattice of dimension 72 in G. Nebe (to appear) we show its extremality with the methods from Coulangeon (2000).
متن کاملBoolean Products of Lattices
A study is made of Boolean product representations of bounded lattices over the Stone space of their centres. Special emphasis is placed on relating topological properties such as clopen or regular open equalizers to their equivalent lattice theoretic counterparts. Results are also presented connecting various properties of a lattice with properties of its individual stalks. Mathematics Subject...
متن کاملbivariations and tensor products
the ordinary tensor product of modules is defined using bilinear maps (bimorphisms), that are linear in eachcomponent. keeping this in mind, linton and banaschewski with nelson defined and studied the tensor product in an equational category and in a general (concrete) category k, respectively, using bimorphisms, that is, defined via the hom-functor on k. also, the so-called sesquilinear, or on...
متن کاملTensor Products
Let R be a commutative ring and M and N be R-modules. (We always work with rings having a multiplicative identity and modules are assumed to be unital: 1 ·m = m for all m ∈M .) The direct sum M ⊕N is an addition operation on modules. We introduce here a product operation M ⊗RN , called the tensor product. We will start off by describing what a tensor product of modules is supposed to look like....
متن کاملJoint Continuity of Injective Tensor Products of Vector Measures in Banach Lattices
It is shown that the injective tensor product of positive vector measures in certain Banach lattices is jointly continuous with respect to the weak convergence of vector measures. This result is obtained by a diagonal convergence theorem for injective tensor integrals. Our approach to this problem is based on Bartle’s bilinear integration theory. 2000 Mathematics subject classification: primary...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.07.013