Nonfinite basicity for a certain number system

A. Kungozhin

Al-Farabi Kazakh National University, Alma-Ata, Kazakhstan

Abstract: A negative answer is given to the question whether there exists a finite basis for real numbers with multiplication and a unary operation $1-x$.

Keywords: real numbers, finite basis of identities.

UDC: 510.67

Received: 12.05.2011

 English version: Algebra and Logic, 2012, 51:1, 56–65

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