2013/12/28 by Christopher Park Mooney, Mooney, Christopher Park
Mathematics · #13A05 #13E99 #13F15 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13A05 #msc:13E99 #msc:13F15
paper · pdf · doi:10.48550/arxiv.1312.7403
16 pages, to appear in Rocky Mountain Journal of Mathematics
arxiv created 2013/12/28 · arxiv updated 2013/12/31
Recently substantial progress has been made on generalized factorization techniques in integral domains, in particular τ-factorization. There has 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 C.R. Fletcher. We seek to synthesize work done in these two areas by generalizing τ-factorization to rings with zero-divisors by using the notion of U-factorization.