Chain Conditions is a foundational principle in set theory and order theory that specifies constraints on the length or structure of totally ordered subsets within a partially ordered set, particularly distinguishing between ascending and descending chains in the context of infinite sets.
111
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3.5K
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148
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98
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2017–2026
9
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Chain Condition
Parents
Publications
111
Big projective modules are free
Hyman Bass · Illinois Journal of Mathematics · 1963 · 136 citations · Full text
Nil Rings Satisfying Certain Chain Conditions
I. N. Herstein, Lance W. Small · Canadian Journal of Mathematics · 1964 · 134 citations · Full text
Miriam Cohen, Louis Rowen · Communications in Algebra · 1983 · 114 citations
1–5 of 111
Authors
148
- ST
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2
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1–5 of 148
Institutions
98
University of Glasgow
Glasgow, United Kingdom
4 h-index
5 publications
170 citations
Universidad Autónoma de Madrid
Madrid, Spain
4 h-index
6 publications
162 citations
University of Chicago
Chicago, United States
3 h-index
3 publications
231 citations
University of Missouri
Columbia, United States
3 h-index
6 publications
307 citations
Isfahan University of Technology
Isfahan, Iran
2 h-index
4 publications
89 citations
Analyse, Géométrie et Modélisation
Cergy-Pontoise, France
2 h-index
1 publications
10 citations
Ohio University
Athens, United States
2 h-index
2 publications
63 citations
Arheološki Institut
Belgrade, Serbia
2 h-index
2 publications
62 citations
1–8 of 98
Venues
- Communications in Algebra
10 publications · 326 citations
10
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- Transactions of the American Mathematical Society
TRAN · 10 publications · 246 citations
10
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- Proceedings of the American Mathematical Society
PROC · 9 publications · 197 citations
9
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- Pacific Journal of Mathematics
9 publications · 388 citations
9
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- Journal of Algebra
5 publications · 95 citations
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