Commutants for Enriched Algebraic Theories and Monads

@article{LucyshynWright2018CommutantsFE,
  title={Commutants for Enriched Algebraic Theories and Monads},
  author={R. B. Lucyshyn-Wright},
  journal={Applied Categorical Structures},
  year={2018},
  volume={26},
  pages={559-596}
}
  • R. B. Lucyshyn-Wright
  • Published 2018
  • Computer Science, Mathematics
  • Applied Categorical Structures
  • We define and study a notion of commutant for $$\mathscr {V}$$V-enriched $${\mathscr {J}}$$J-algebraic theories for a system of arities $${\mathscr {J}}$$J, recovering the usual notion of commutant or centralizer of a subring as a special case alongside Wraith’s notion of commutant for Lawvere theories as well as a notion of commutant for $$\mathscr {V}$$V-monads on a symmetric monoidal closed category $$\mathscr {V}$$V. This entails a thorough study of commutation and Kronecker products of… CONTINUE READING

    Topics from this paper.

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 25 REFERENCES
    Enriched algebraic theories and monads for a system of arities
    • 12
    • Open Access
    BASIC CONCEPTS OF ENRICHED CATEGORY THEORY
    • 777
    • Open Access
    Convex Spaces, Affine Spaces, and Commutants for Algebraic Theories
    • 2
    • Open Access
    Enriched Lawvere Theories
    • 79
    Monads on symmetric monoidal closed categories
    • 152
    • Open Access
    Some Aspects of Equational Categories
    • 193
    Universal Algebra in a Closed Category
    • 24
    • Highly Influential
    • Open Access