Year: 1945
Type: article
Abstract: I "The Radical and Semi-simplicity for Arbitrary Rings," Amer.Jour.Math., 67, 300-320 (1945).The results that we state without proof in this section can be found in the above-mentioned paper.2 We use the notations V and A, respectively, for the logical sum and logical product of a finite number of sets.3 Loc.cit. in reference 1, p. 316.4"Applications of the Theory of Boolean Rings to General Topology," Trans.Amer.Math.Soc., 41, 375-481 (1937).5 "'Ober verschiedene Methoden der Einfuhring der Topologie in die Menge der maximalen ideale eines normierten Ringes," Math.Sbornik, 51, 25-39 (1941).6 Loc.cit. in reference 1, p. 313.7 Loc.cit. in reference 5, pp.27-30.8 Loc.cit. in reference 4, p. 380.It is assumed here that the field of residues mod 2 is endowed with a T1-topology.This means that each point is both open and closed.
Authors: Edward Kasner, John De Cicco
Institutions: Illinois Institute of Technology, Columbia University
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2015140667