Recently, substantial progress has been made on generalized factorization techniques in integral domains, in particular, tau-factorization. There have also been advances made in investigating factorization in commutative rings with zero-divisors. One approach which has been found to be very successful is that of U-factorization introduced by Fletcher. We seek to synthesize work done in these two areas by generalizing tau-factorization to rings with zero-divisors by using the notion of U-factorization.
展开▼
