MORPHIC PROPERTY OF A QUOTIENT RING OVER POLYNOMIAL RING
MORPHIC PROPERTY OF A QUOTIENT RING OVER POLYNOMIAL RING
A ring R is called left morphic if <TEX>$$R/Ra{\simeq_-}l(a)$$</TEX> for every <TEX>$a{\in}R$</TEX>. Equivalently, for every <TEX>$a{\in}R$</TEX> there exists <TEX>$b{\in}R$</TEX> such that <TEX>$Ra=l(b)$</TEX> and <TEX>$l(a)=Rb$</TEX>. A ring R is called left quasi-morphic if there exist <TEX>$b$</TEX> and <TEX>$c$</TEX> in R such that <TEX>$Ra=l(b)$</TEX> and <TEX>$l(a)=Rc$</TEX> for every <TEX>$a{\in}R$</TEX>. A result of …