Topologies and uniformities on d$_0$-algebras

Year, pages: 2017, 1301 - 1322

A d$_0$-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 d$_0$-algebra which make the difference uniformly continuous. We prove that such uniformities are univocally determined the neighbourhoods of $0$, thus extending the corresponding result known for D-lattices.

Rosa, M., Vitolo, P. 2017. Topologies and uniformities on d$_0$-algebras. In Mathematica Slovaca, vol. 67, no.6, pp. 1301-1322. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0053

Rosa, M., Vitolo, P. (2017). Topologies and uniformities on d$_0$-algebras. Mathematica Slovaca, 67(6), 1301-1322. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0053