Axtell, M.; Forman, S. J.; Stickles, J. Properties of domainlike rings. (English) Zbl 1188.13001 Tamkang J. Math. 40, No. 2, 151-164 (2009). The article is a compilation of various results about commutative rings each of whose nil-radical is a prime ideal. The authors present a diagram which compares various known properties and pose questions. Reviewer: S. B. Mulay (Knoxville) Cited in 4 Documents MSC: 13A05 Divisibility and factorizations in commutative rings 13A15 Ideals and multiplicative ideal theory in commutative rings 13F99 Arithmetic rings and other special commutative rings Keywords:presimplifiable rings; hereditarily strongly associate rings; ultraproduct rings; zero-divisors PDF BibTeX XML Cite \textit{M. Axtell} et al., Tamkang J. Math. 40, No. 2, 151--164 (2009; Zbl 1188.13001) OpenURL