Continuous modules are clean

By V. Camillo, Dinesh Khurana, T. Lam, W. K. Nicholson, Yiqiang Zhou. 2006

94 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/92b67c4cf5bd7ae49f70c001f483ecf5bdbb5786

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. Diesl
2. Gautam Borooah
3. Ashish Kumar Srivastava
4. Thomas J. Dorsey
5. P. Asensio
6. Huanyin Chen

In Computational Theory and Mathematics

1. A. Diesl
2. Gautam Borooah
3. Thomas J. Dorsey
4. P. Asensio

Citations in the corpus

• Automorphism-invariant modules satisfy the exchange property (2013, background): “It was shown in [2] that continuous modules are clean.”
• Strongly clean triangular matrix rings over local rings (2007, background): “Camillo, Khurana, Lam, Nicholson and Zhou [2] define a clean module as one whose endomorphism ring is clean.”
• Strongly clean matrix rings over commutative local rings (2008, background): “Although we will not need it for our purposes, there is an equally useful analogue of Lemma 1 for clean endomorphisms which can be found in [5].”