Abstract
An algebra, A, is a vector space together with a mapping A × A →A such that the conditions (M1) and (M2) below both hold. The image of two vectors x ∈ A, y ∈ A, under this mapping is called the product of x and y and will be denoted by xy.
In paragraphs one and two all vector spaces are defined over a fixed, but arbitrarily chosen field τ of characteristic 0.
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© 1975 Springer-Verlag New York Inc.
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Greub, W. (1975). Algebras. In: Linear Algebra. Graduate Texts in Mathematics, vol 23. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9446-4_6
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DOI: https://doi.org/10.1007/978-1-4684-9446-4_6
Publisher Name: Springer, New York, NY
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