"A number of topics appear in this book for the first time. The bibliography list contains 142 items, including earlier works by the author. There are rudimentary subject and symbol indexes. This posthumously published book is a welcome addition to an existing literature of ideal theory of commutative rings and monoids." (Radoslav M. Dimitric, zbMATH 1572.13001, 2026) "The book under review is most noteworthy for describing multiplicative ideal theory in various situations by means of a single term (i.e.

, weak module systems). That is, it enables the reader to understand the commonalities of three different areas, say, rings, extensions of rings, and monoids from a shared perspective. The book under review is certainly very helpful for all graduate students and researchers who are interested in the multiplicative ideal theory of rings and monoids." (Gyu Whan Chang, Semigroup Forum, Vol. 111 (3), 2025).