Algebras and their ArithmeticsLeonard Eugene DicksonI. Introduction, Definitions of Algebras, Illustrations
II. Linear Sets of Elements of an Algebra
III. Invariant Sub-Algebras, Direct Sum, Reducibility, Difference Algebras
IV. Nilpotent and Semi-Simple Algebras; Idempotent Elements
V. Division Algebras
VI. Structure of Algebras
VII. Characteristic Matrices, Determinants, and Equations; Minimum and Rank Equations
VIII. The Principal Theorem on Algebras
IX. Integral Algebraic Numbers
X. The Arit...
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