Multiplication Rings as Rings in Which Ideals with Prime Radical are Primary

DOI10.2307/1993985zbMath0136.02402OpenAlexW4245194107MaRDI QIDQ5509026

Joe L. Mott, Robert Gilmer

Publication date: 1965

Full work available at URL: https://doi.org/10.2307/1993985

zbMATH Keywords

rings, modules, fields

Related Items

Some results on abstract commutative ideal theory, Unnamed Item, On $n$-absorbing prime ideals of commutative rings, \(s\)-prime elements in multiplicative lattices, Some results on almost principal element lattices, Rings over which every semi-primary ideal is 1-absorbing primary, Endomorphism rings, power series rings, and serial modules, Unnamed Item, Classical ideal semigroups, Multiplication modules and ideals., Weak complemented and weak invertible elements in \(C\)-lattices, Multiplication semigroups, Rings in which every 2-absorbing primary ideal is primary, A class of domains in which primary ideals are valuation ideals, A class of domains in which primary ideals are valuation ideals. II, Semidistributive modules, Commutative rings in which each prime ideal is principal, CATEGORY-BASED CO-GENERATION OF SEMINAL CONCEPTS AND RESULTS IN ALGEBRA AND NUMBER THEORY: CONTAINMENT-DIVISION AND GOLDBACH RINGS, On \(n\)-absorbing ideals of locally divided commutative rings, (KE)-domains and their generalizations, On irredundant components of the kernel of an ideal

Cites Work

• Über Laskersche Ringe
• On a classical theorem of Noether in ideal theory
• Commutative rings containing at most two prime ideals
• Rings in which semi-primary ideals are primary
• Extension of results concerning rings in which semi-primary ideals are primary
• Commutative rings with restricted minimum condition
• Über kommutative Ringe, in denen jedes Ideal als Produkt von Primidealen darstellbar ist
• Eleven Nonequivalent Conditions on a Commutative Ring
• Equivalent Conditions for a Ring to Be a Multiplication Ring
• Über die Umkehrbarkeit der ldeale im lntegritätsbereiche
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item