BRAIDS AND ORDER-PRESERVING PARTIAL PERMUTATIONS
2010 ◽
Vol 19
(08)
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pp. 1025-1049
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We initiate a new way to study presentations of the inverse braid monoid [Formula: see text]. Our method makes use of the monoid [Formula: see text] of all order-preserving partial permutations on an n-element chain. As an application we derive the Easdown–Lavers (2004) presentation of [Formula: see text], and we also obtain new presentations for the symmetric inverse monoid [Formula: see text] and the monoid [Formula: see text] of all order-preserving partial braids with at most n strings.
2006 ◽
Vol 73
(3)
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pp. 375-404
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Keyword(s):
2006 ◽
Vol 34
(5)
◽
pp. 1671-1689
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2008 ◽
Vol 18
(02)
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pp. 357-374
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Keyword(s):
2015 ◽
Vol 43
(4)
◽
pp. 1621-1639
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2007 ◽
Vol 50
(3)
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pp. 551-561
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2007 ◽
Vol 17
(03)
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pp. 567-591
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1998 ◽
Vol 64
(3)
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pp. 345-367
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2003 ◽
Vol 68
(2)
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pp. 317-324
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Keyword(s):