Commutative ideal theory without finiteness conditions : Completely irreducible ideals

By L. Fuchs, W. Heinzer, B. Olberding. 2006

56 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/976ff691218653d012036d48e3bbd99b13aa519b

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In Algebra and Number Theory

1. H. Ansari-Toroghy
2. Faranak Farshadifar
3. S. Kabbaj
4. Najib Mahdou
5. Driss Bennis

In Geometry and Topology

1. H. Ansari-Toroghy
2. Faranak Farshadifar
3. Najib Mahdou
4. Driss Bennis

Citations in the corpus

• The Dual Notions of Some Generalizations of Prime Submodules (2011, background): “In [14], the concept of relevant completely irreducible divisor ideals was introduced by Fuchs, Heinzer, and Olberding.”
• Trivial extensions defined by Prüfer conditions (2008, background): “(1) Fuchs, Heinzer and Olberding have recently studied irreducibility in commutative rings [7,8] and noticed that ‘‘it is readily seen that a ring R is an arithmetical ring if and only if for each proper ideal I of R, IM is an irreducible ideal of RM for every maximal idealM of R containing I [7].”