Abstract

We prove that the axiom system of basic algebras as given in Chajda and Emanovský (Discuss Math Gen Algebra Appl 24:31–42, 2004) is not independent. The axiom (BA3) can be deleted and the remaining axioms are shown to be independent. The case when the axiom of double negation is deleted is also treated.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.