University of Guilan Journal of Algebra and Related Topics 2345-3931 14 Special Issue- Dedicated to the memory of Jürgen Herzog (1941-2024). 2026 04 01 On nonnil-zero-divisor rings 99 114 8850 10.22124/jart.2025.28466.1715 EN S. Visweswaran Department of Mathematics, Saurashtra University, Rajkot, India H. D. Patel Science and Humanities Department, Government Polytechnic, Bhuj, India Journal Article 2024 09 15 The rings considered in this paper are commutative with identity and are nonzero. Let R be a ring. An ideal I of R is said to be nonnil if I is not contained in the nilradical of R. We say that R is a nonnil-zero-divisor ring if for any proper nonnil ideal I of R, the set of zero-divisors of the R-module R/I is a finite union of prime ideals of R. This paper aims to discuss some basic properties of nonnil-zero-divisor rings and to compare the ring-theoretic properties of zero-divisor rings with that of the ring-theoretic properties of nonnil-zero-divisor rings. Zero-divisor module Zero-divisor rings Nonnil-zero-divisor rings Nonnil-Noetherian rings Nonnil-Laskerian rings https://jart.guilan.ac.ir/article_8850_b4b7530b68832d57b0db7a19379fc8e2.pdf