An Order Ideal is a downward-closed subset of a partially ordered set, meaning it contains all elements less than or equal to any of its members.
131
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3.9K
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186
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128
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2017–2026
6
Variants
Down-setsLower Sets
Publications
131
Lance W. Small · Journal of Algebra · 1966 · 135 citations
Ideals In Partially Ordered Sets
Orrin Frink · American Mathematical Monthly · 1954 · 116 citations
Order ideals in a C∗-algebra and its dual
Edward G. Effros · Duke Mathematical Journal · 1963 · 104 citations
Richard P. Stanley · The Electronic Journal of Combinatorics · 2009 · 99 citations · Full text
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Authors
186
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1–5 of 186
Institutions
128
Purdue University West Lafayette
West Lafayette, United States
7 h-index
7 publications
124 citations
COMSATS University Islamabad
Islamabad, Pakistan
4 h-index
4 publications
125 citations
Massachusetts Institute of Technology
Cambridge, United States
4 h-index
4 publications
214 citations
University of Leeds
Leeds, United Kingdom
3 h-index
3 publications
90 citations
Pennsylvania State University
State College, United States
3 h-index
3 publications
209 citations
University of Washington
Seattle, United States
3 h-index
3 publications
44 citations
University of California, Berkeley
Berkeley, United States
3 h-index
3 publications
89 citations
Yazd University
Yazd, Iran
3 h-index
3 publications
59 citations
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Venues
- Journal of Algebra
21 publications · 570 citations
14
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- Proceedings of the American Mathematical Society
PROC · 8 publications · 194 citations
8
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- Journal of Pure and Applied Algebra
6 publications · 137 citations
6
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- Discrete Mathematics
4 publications · 85 citations
4
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- Pacific Journal of Mathematics
4 publications · 170 citations
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