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Primarily, we will follow Wikibooks' Abstract Algebra textbook. An extensive chapter has been added to survey other (mostly recent) applications, many of which were not included in the first edition, nor are commonly found in undergraduate texts. One numbering system enumerates all lemmas, theorems, propositions, corollaries, and examples, so that finding back references is easy. A matrix is a shorthand for our diagrams: A matrix is a single variable representing a spreadsheet of inputs or operations.

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