DIAGONALITY AND POWERS OF GENERAL ALGEBRAIC SYSTEMS

Abstract

This note is a short survey consisting of some results on the topic published by the author in a series of papers during the last fifteen years. But, in contrast to these papers in which general algebraic systems of different kinds are investigated independently, the note uses a unified, relational approach in which these systems are considered and investigated as special relational systems. The results show that diagonality plays an important role when studying powers (i.e., function spaces) of general algebraic systems because it ensures well behaviour of the powers.