Algebras, the last of the major algebraic objects in this book, are rings with a compatible vector space or module structure. Interest in algebras began with Hamilton’s construction of the quaternions [1843] and Benjamin Peirce’s paper Linear Associative Algebras [1864]. Algebras are fundamental to algebraic geometry and to the study of group representations (see Chapters VII and IX).
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© 2007 Springer Science+Business Media, LLC
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(2007). Algebras. In: Abstract Algebra. Graduate Texts in Mathematics, vol 242. Springer, New York, NY. https://doi.org/10.1007/978-0-387-71568-1_13
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DOI: https://doi.org/10.1007/978-0-387-71568-1_13
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