Complex vector lattices via functional completions
نویسندگان
چکیده
منابع مشابه
An equivalence functor between local vector lattices and vector lattices
We call a local vector lattice any vector lattice with a distinguished positive strong unit and having exactly one maximal ideal (its radical). We provide a short study of local vector lattices. In this regards, some characterizations of local vector lattices are given. For instance, we prove that a vector lattice with a distinguished strong unit is local if and only if it is clean with non no-...
متن کاملCompletions of Orthomodular Lattices
If X is a variety of orthomodular lattices generated by a finite orthomodular lattice the MacNeille completion of every algebra in X again belongs to X. AMS subject classilkatioo (1980). 06-xX
متن کاملFree Distributive Completions of Partial Complete Lattices
The free distributive completion of a partial complete lattice is the complete lattice that it is freely generated by the partial complete latticèin the most distributive way'. This can be described as being a universal solution in the sense of universal algebra. Free distributive completions generalize the constructions of tensor products and of free completely distributive complete lattices o...
متن کاملEquivariant vector bundles on group completions
In this paper, we describe the category of bi-equivariant vector bundles on a bi-equivariant smooth (partial) compactification of a reductive algebraic group with normal crossing boundary divisors. Our result is a generalization of the description of the category of equivariant vector bundles on toric varieties established by A. As an application, we prove splitting of equivariant vector bundle...
متن کاملGroup Completions via Hilbert Schemes
Let X be a projective variety, homogeneous under a linear algebraic group. We show that the diagonal of X belongs to a unique irreducible component
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2016
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.09.080