Brainlet here,Can we deduce that two rings R1 and R2 are isomorphic if their polynomial ring are isomorphic?

that is given two rings R1 and R2 (with or without identity: it's not specified). If R1[x] is isomorphic to R2[y]
(No such requirement that the isomorphism sends the constant terms to constant terms),

can we deduce that R1?R2?