Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory Garth L. Hallett The book attempts to show

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Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory Garth L. Hallett The book attempts to showBimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic $K$ theory since around 1970. There is an abundance of new applications and questions of bimonoidal categories in mathematics and other sciences. The three books published by the AMS in the Mathematical Surveys and Monographs series under the title Bimonoidal Categories, $E_n$ Monoidal