Share Your Research, Maximize Your Social Impacts
Continuous and dually continuous idempotent $L$-semimodules
Journal: Matematychni Studii (Vol.37, No. 1)Publication Date: 2012-01-01
Authors : Nykyforchyn O. R.;
Page : 3-28
Keywords : continuous lattice; idempotent semimodule; free object;
Source : Download
Find it from : Google Scholar
Abstract
We introduce L-idempotent analogues of topological vector spaces by means of domain theory, study their basic properties, and prove the existence of free (dually) continuous L-semi- modules over domains, (dually) continuous lattices and semilattices.
Other Latest Articles
- Index, 2011
- Two-point method for solving nonlinear equation with nondifferentiable operator (in Ukrainian)
- Accretive and nonnegative perturbations of an abstract analogy for the operator of the third boundary problem and corresponding variational problems (in Ukrainian)
- Under a suitable renorming every nonreflexive Banach space has a finite subset without a Steiner point
- Operator analogues of Kummer’s test (in Ukrainian)
Last modified: 2014-01-13 20:03:00