Abstract
Let k be a commutative ring with unit element, and let A be a k-module, then A is said to be a k-algebra if there is given a k-bilinear map A × A → A (i.e., a k-homomorphism A ⊗k A → A).
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© 1992 Springer-Verlag Berlin Heidelberg
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Serre, JP. (1992). Lie Algebras: Definition and Examples. In: Lie Algebras and Lie Groups. Lecture Notes in Mathematics, vol 1500. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70634-2_1
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DOI: https://doi.org/10.1007/978-3-540-70634-2_1
Publisher Name: Springer, Berlin, Heidelberg
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