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Two Interacting Coordinate Hopf Algebras of Affine Groups of Formal Series on a Category

Two Interacting Coordinate Hopf Algebras of Affine Groups of Formal Series on a Category

A locally finite category is defined as a category in which every arrow admits only finitely many different ways to be factorized by composable arrows. The large algebra of such categories over some fields may be defined, and with it a group of invertible series (under multiplication). For certain particular …