## Frantisek Katrnoska

## Logics that are generated by idempotents

## (Lobachevskii Journal of Mathematics, Vol.15, pp.11-19)

The main result of this paper is the generalization of the theorem which
represents one of the generally accepted cases concerning the
characterization of the logic of idempotents.
If R is a ring then the R-circulant matrices are introduced
and some consequences for the logics of idempotents of the corresponding
rings. Some convenient examples are added as well. Certain results of this
paper may find applications in the foundation of quantum theory.

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