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Some observations on a result by Bialinicki-Birula and Zelazko

Gabriele Gullà

Abstract

We are interested in investigating some definitions and assumptions stated in [4], in particular the notions of measurability and atomicity that the two authors used in order to give a representation for multiplicative linear functionals (m.l.f. so on) over the cartesian product of algebras. We want to briefly analyze the result under other strong proper axioms with respect to ZF(C). Some little historical and notational remarks will be given.

Some observations on a result by Bialinicki-Birula and Zelazko

Abstract

We are interested in investigating some definitions and assumptions stated in [4], in particular the notions of measurability and atomicity that the two authors used in order to give a representation for multiplicative linear functionals (m.l.f. so on) over the cartesian product of algebras. We want to briefly analyze the result under other strong proper axioms with respect to ZF(C). Some little historical and notational remarks will be given.
Paper Structure (5 sections, 7 equations)

This paper contains 5 sections, 7 equations.

Table of Contents

  1. Introduction
  2. Measurability properties
  3. Atomicity conditions
  4. Constructibility and measurability
  5. Appendix: historical and notational remarks