symmetric monoidal (∞,1)-category of spectra
In an Ab-enriched category an endomorphism monoid is a monoid in Ab and hence a ring: the endomorphism ring.
In a linear category this is an associative algebra over the ground ring, the endomorphism algebra.
endomorphism monoid, endomorphism ring, endomorphism monoid object
On endomorphism algebras in (dagger-)compact closed categories (as Frobenius algebras):
Jamie Vicary, Lemma 3.17 in: Categorical Formulation of Finite-Dimensional Quantum Algebras, Communications in Mathematical Physics 304 (2011) 765–796 [doi:10.1007/s00220-010-1138-0]
Peter Hines, Thm. 50 in: On strict extensional reflexivity in compact closed categories [arXiv:2202.08130]
Last revised on September 17, 2023 at 08:20:35. See the history of this page for a list of all contributions to it.