Abstract
A group G is an algebra which consists of a set G and a single binary operation, which we will usually write as ο, but which may sometimes be written + or x : G = 〈G, ο〉. To be a group, G must satisfy the following conditions, the group axioms:
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G1:
G is an algebra (i.e., ο completely defined and G closed under ο).
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G2:
ο is associative.
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G3:
G contains an identity element.
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G4:
Each element in G has an inverse element.
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© 1993 Kluwer Academic Publishers
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Partee, B.H., Ter Meulen, A., Wall, R.E. (1993). Operational Structures. In: Mathematical Methods in Linguistics. Studies in Linguistics and Philosophy, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2213-6_10
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DOI: https://doi.org/10.1007/978-94-009-2213-6_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-277-2245-4
Online ISBN: 978-94-009-2213-6
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