A d0-algebra, which is a generalization of a D-lattice, is an algebraic structure with one operation, called difference, and a distinguished element denoted by 0. In this paper we investigate those uniformities on a d0-algebra which make the difference uniformly continuous. We prove that such uniformities are univocally determined by the neighbourhoods of 0, thus extending the corresponding result known for D-lattices.
Topologies and uniformities on d0-algebras
Marco Rosa;Paolo Vitolo
2017-01-01
Abstract
A d0-algebra, which is a generalization of a D-lattice, is an algebraic structure with one operation, called difference, and a distinguished element denoted by 0. In this paper we investigate those uniformities on a d0-algebra which make the difference uniformly continuous. We prove that such uniformities are univocally determined by the neighbourhoods of 0, thus extending the corresponding result known for D-lattices.File in questo prodotto:
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