show that a unit of a ring divides every other element of the ring
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$\displaystyle a$ is unit in a ring $\displaystyle R$, so there is an element $\displaystyle a^{-1}$ such that $\displaystyle aa^{-1}=1$. By associativity, $\displaystyle b=a(a^{-1}b)$ for any element $\displaystyle b\in R$.
Originally Posted by ojas show that a unit of a ring divides every other element of the ring 1Ib if b=qx1 for some q. q=b
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