Scalars, Monads, and Categories - Mathematics > Rings and AlgebrasReport as inadecuate




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Abstract: This chapter describes interrelations between: 1 algebraic structure onsets of scalars, 2 properties of monads associated with such sets of scalars,and 3 structure in categories esp. Lawvere theories associated with thesemonads. These interrelations will be expressed in terms of -triangles ofadjunctions-, involving for instance various kinds of monoids non-commutative,commutative, involutive and semirings as scalars. It will be shown to whichkind of monads and categories these algebraic structures correspond viaadjunctions.



Author: Dion Coumans, Bart Jacobs

Source: https://arxiv.org/







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