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Your search keyword '"locally finite partial order"' showing total 3 results
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3 results on '"locally finite partial order"'

1. Algebraic and topological structures on rational tangles

Author

Vida Milani, Seyed M.H. Mansourbeigi, and Hossein Finizadeh

Subjects
group Hopf algebra, locally finite partial order, tangle, pseudo-module, bi-pseudo-module, pseudo-tensor product, incidence algebra, interval coalgebra, continued fraction, tangle convergent., Mathematics, QA1-939, Analysis, QA299.6-433
Abstract

In this paper we present the construction of a group Hopf algebra on the class of rational tangles. A locally finite partial order on this class is introduced and a topology is generated. An interval coalgebra structure associated with the locally finite partial order is specified. Irrational and real tangles are introduced and their relation with rational tangles are studied. The existence of the maximal real tangle is described in detail.

Published
2017
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2. Algebraic and topological structures on rational tangles.

Author

Milani, Vida, Mansourbeigi, Seyed M. H., and Finizadeh, Hossein

Subjects
*TANGLES (Knot theory), *HOPF algebras, *TOPOLOGICAL groups
Abstract

In this paper we present the construction of a group Hopf algebra on the class of rational tangles. A locally finite partial order on this class is introduced and a topology is generated. An interval coalgebra structure associated with the locally finite partial order is specified. Irrational and real tangles are introduced and their relation with rational tangles are studied. The existence of the maximal real tangle is described in detail. [ABSTRACT FROM AUTHOR]

Published
2017
Full Text
View/download PDF

3. Algebraic and topological structures on rational tangles

Author

Seyed M.H. Mansourbeigi, Vida Milani, Hossein Finizadeh, and Poli Paper

Subjects
tangle convergent, Coalgebra, Structure (category theory), Bi-pseudo-module, 010103 numerical & computational mathematics, Interval (mathematics), lcsh:Analysis, Group Hopf algebra, Continued fraction, Topology, 01 natural sciences, Tangle, Interval coalgebra, Incidence algebra, Mathematics::Quantum Algebra, Physical Sciences and Mathematics, Order (group theory), 0101 mathematics, Algebraic number, Mathematics, group Hopf algebra, Computer Sciences, lcsh:Mathematics, lcsh:QA299.6-433, Tangle convergen, bi-pseudo-module, lcsh:QA1-939, Mathematics::Geometric Topology, continued fraction, 010101 applied mathematics, Algebra, incidence algebra, pseudo-tensor product, Pseudo-tensor product, Pseudo-module, pseudo-module, Geometry and Topology, tangle, Locally finite partial order, locally finite partial order, interval coalgebra
Abstract

In this paper we present the construction of a group Hopf algebra on the class of rational tangles. A locally finite partial order on this class is introduced and a topology is generated. An interval coalgebra structure associated with the locally finite partial order is specified. Irrational and real tangles are introduced and their relation with rational tangles are studied. The existence of the maximal real tangle is described in detail.

Published
2017

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