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Partial algebra

In abstract algebra, a partial algebra is a generalization of universal algebra to partial operations.[1][2]

Example(s) edit

Structure edit

There is a "Meta Birkhoff Theorem" by Andreka, Nemeti and Sain (1982).[1]

References edit

  1. ^ a b c Peter Burmeister (1993). "Partial algebras—an introductory survey". In Ivo G. Rosenberg; Gert Sabidussi (eds.). Algebras and Orders. Springer Science & Business Media. pp. 1–70. ISBN 978-0-7923-2143-9.
  2. ^ George A. Grätzer (2008). Universal Algebra (2nd ed.). Springer Science & Business Media. Chapter 2. Partial algebras. ISBN 978-0-387-77487-9.
  3. ^ Foulis, D. J.; Bennett, M. K. (1994). "Effect algebras and unsharp quantum logics". Foundations of Physics. 24 (10): 1331. doi:10.1007/BF02283036. hdl:10338.dmlcz/142815. S2CID 123349992.

Further reading edit

  • Peter Burmeister (2002) [1986]. A Model Theoretic Oriented Approach to Partial Algebras. CiteSeerX 10.1.1.92.6134.
  • Horst Reichel (1984). Structural induction on partial algebras. Akademie-Verlag.
  • Horst Reichel (1987). Initial computability, algebraic specifications, and partial algebras. Clarendon Press. ISBN 978-0-19-853806-6.


partial, algebra, abstract, algebra, partial, algebra, generalization, universal, algebra, partial, operations, contents, example, structure, references, further, readingexample, editpartial, groupoid, field, multiplicative, inversion, only, proper, partial, o. In abstract algebra a partial algebra is a generalization of universal algebra to partial operations 1 2 Contents 1 Example s 2 Structure 3 References 4 Further readingExample s editpartial groupoid field the multiplicative inversion is the only proper partial operation 1 effect algebras 3 Structure editThere is a Meta Birkhoff Theorem by Andreka Nemeti and Sain 1982 1 References edit a b c Peter Burmeister 1993 Partial algebras an introductory survey In Ivo G Rosenberg Gert Sabidussi eds Algebras and Orders Springer Science amp Business Media pp 1 70 ISBN 978 0 7923 2143 9 George A Gratzer 2008 Universal Algebra 2nd ed Springer Science amp Business Media Chapter 2 Partial algebras ISBN 978 0 387 77487 9 Foulis D J Bennett M K 1994 Effect algebras and unsharp quantum logics Foundations of Physics 24 10 1331 doi 10 1007 BF02283036 hdl 10338 dmlcz 142815 S2CID 123349992 Further reading editPeter Burmeister 2002 1986 A Model Theoretic Oriented Approach to Partial Algebras CiteSeerX 10 1 1 92 6134 Horst Reichel 1984 Structural induction on partial algebras Akademie Verlag Horst Reichel 1987 Initial computability algebraic specifications and partial algebras Clarendon Press ISBN 978 0 19 853806 6 nbsp This algebra related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Partial algebra amp oldid 1180891270, wikipedia, wiki, book, books, library,

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