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Some Aspects of Equational Categories

Published 1 January 1966
F. E. J. Linton
Citations235

TL;DR

The theory of equationally definable classes of algebras, initiated by Birkhoff in the early thirties, is, despite its power, elegance and simplicity, hampered in its usefulness by two defects.

Abstract

The theory of equationally definable classes of algebras, initiated by Birkhoff in the early thirties, is, despite its power, elegance and simplicity, hampered in its usefulness by two defects. The first is its refusal to deal with infinitary operations; the second is the awkwardness inherent in the presentation of an equationally definable class in terms of operations and equations.

Keywords

Computer Science