On Continuous Regular Rings
- 1 January 1961
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 4 (1) , 63-69
- https://doi.org/10.4153/cmb-1961-011-6
Abstract
A subset K of a lattice is said to be directed if for any a, b∊K there is c∊K with c ≥ a, b. A complete lattice L is called upper continuous if for every directed subset (aα) and every element b.The following is a slight improvement of [4; Anmerkung 1. 11, p. 11].Keywords
This publication has 5 references indexed in Scilit:
- On Continuous Regular Rings and Semisimple Self Injective RingsCanadian Journal of Mathematics, 1960
- On a theorem on modular latticesProceedings of the Japan Academy, Series A, Mathematical Sciences, 1959
- Kontinuierliche GeometrienPublished by Springer Nature ,1958
- On the structure of algebraic algebras and related ringsTransactions of the American Mathematical Society, 1953
- The extended centralizer of a ring over a moduleProceedings of the American Mathematical Society, 1951