Partial Algebra
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In abstract algebra, a partial algebra is a generalization of universal algebra to
partial Partial may refer to: Mathematics * Partial derivative, derivative with respect to one of several variables of a function, with the other variables held constant ** ∂, a symbol that can denote a partial derivative, sometimes pronounced "partial ...
operations Operation or Operations may refer to: Arts, entertainment and media * ''Operation'' (game), a battery-operated board game that challenges dexterity * Operation (music), a term used in musical set theory * ''Operations'' (magazine), Multi-Man ...
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Example(s)

* partial groupoid * field — the multiplicative inversion is the only proper partial operation *
effect algebra Effect algebras are partial algebras which abstract the (partial) algebraic properties of events that can be observed in quantum mechanics. Structures equivalent to effect algebras were introduced by three different research groups in theoretical ...
s


Structure

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


References


Further reading

* * * Algebraic structures {{algebra-stub