On bowtie rings,universal survival rings and universal lying-over rings

If (R,M) is a quasilocal integral domain of Krull dimension n,?1<n≤∞, and E is the direct sum of denumerably many copies of R/M, then T:=R?E is a reduced n-dimensional universal survival ring which is not a universal lying-over ring. In fact, T is a new kind of such ring, as T is not (isomorphic to) an A+B construction and T is not a ring of continuous real-valued functions. The analysis includes identifying all the prime ideals of T and showing that T is its own total quotient ring and satisfies Property A. The assertion would fail if n=1, as T would be a universal lying-over ring in this case. It is also shown that a (commutative unital) ring A satisfies Property A if and only if each ideal of A that consists only of zero-divisors survives in the complete ring of quotients of A.