Partial algebra

 ( Algebraic Structures ) 

In abstract algebra, a partial algebra is a generalization of universal algebra to partial operations.

Peter Burmeister (1993). 9780792321439, Springer Science & Business Media. ISBN 9780792321439

George A. Grätzer (2025). 9780387774879, Springer Science & Business Media. . ISBN 9780387774879

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Example(s)

• partial groupoid
• field — the multiplicative inversion is the only proper partial operation

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Structure There is a "Meta Birkhoff Theorem" by Andreka, Nemeti and Sain (1982).

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Further reading

• Horst Reichel (1987). 9780198538066, Clarendon Press. ISBN 9780198538066

Categories: Algebraic Structures

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