Homotopy Type Theory bimodule homomorphism > history (Rev #1)

Definiton

Let RR and SS be rings. A RR-SS-bimodule homomorphism between two RR-SS-bimodules AA and BB is a function f:ABf:A \to B such that for all a:Aa:A, b:Ab:A, q:Rq:R, r:Rr:R, s:Ss:S, and t:Tt:T,

f(qas+rbt)=qf(a)s+rf(b)tf(q a s + r b t) = q f(a) s + r f(b) t

See also

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