Answer on Abstract Algebra Question for Hym@n B@ss
(e1, e2, . . .)= (s1, s2, . . .) + (t1, t2, . . . )
where (s1, s2, . .. ) ∈ S, and (t1, t2, . . . ) ∈ T.
Then the exists an index n suchthat ti = ei for all i ≥ n.
Let r ∈ R be such that ren, ren+1,. . . are almost all 0 but not all 0.
r(t1, . . . , tn, tn+1,. . .) = (rt1, . . . , rtn−1, ren,ren+1, . . . )
is nonzero lies in S as well as in T,a contradiction.
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