Multilinear Algebra

Gerhard P. Hochschild
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Gerhard P. Hochschild: University of California, Department of Mathematics

Chapter Chapter V in Perspectives of Elementary Mathematics, 1983, pp 50-60 from Springer

Abstract: Abstract Let H be an arbitrary set, and let S denote the set whose elements are the finite sequences (h1,…, h n ) of elements of H, where n ranges over the set of all positive integers. We include in S also the empty sequence (), corresponding to the case n = 0. We make S into a monoid by defining the composition map simply as juxtaposition, so that the composite of (h1…, h m ) and (k1,…, k n ) is the sequence (h1,…, h m , k1,…, k n ). The empty sequence is the neutral element for this composition.

Date: 1983
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DOI: 10.1007/978-1-4612-5567-3_5

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