AbstractWe introduce the concept of the quandle partial derivatives, and use them to define extreme chains that yield homological operations. We apply this to a large class of finite and infinite quandles to show, in particular, that they have nontrivial elements in the third and fourth quandle homology
AbstractAlgorithms are described and Maple implementations are provided for finding all quandles of ...
Abstract The quandle homology theory is generalized to the case when the coecient groups admit the s...
Geometric representations of cycles in quandle homology theory are given in terms of colored knot di...
AbstractWe introduce the concept of the quandle partial derivatives, and use them to define extreme ...
AbstractLower bounds for the Betti numbers for homology groups of racks and quandles will be given u...
AbstractIn this paper we describe three geometric applications of quandle homology. We show that it ...
A homology and cohomology theory for topological quandles are introduced. The relation between these...
Quandles are distributive algebraic structures originally introduced independently by David ...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
If A is an abelian quandle and Q is a quandle, the hom set Hom(Q,A) of quandle homomorphisms from Q ...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
E. Bunch, P. Lofgren, A. Rapp and D. N. Yetter [J. Knot theory Ramifications (2010)] pointed out tha...
Quandles are mathematical structures that have been mostly studied in knot theory, where they determ...
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triv...
AbstractAlgorithms are described and Maple implementations are provided for finding all quandles of ...
Abstract The quandle homology theory is generalized to the case when the coecient groups admit the s...
Geometric representations of cycles in quandle homology theory are given in terms of colored knot di...
AbstractWe introduce the concept of the quandle partial derivatives, and use them to define extreme ...
AbstractLower bounds for the Betti numbers for homology groups of racks and quandles will be given u...
AbstractIn this paper we describe three geometric applications of quandle homology. We show that it ...
A homology and cohomology theory for topological quandles are introduced. The relation between these...
Quandles are distributive algebraic structures originally introduced independently by David ...
A quandle is a set with a binary operation that satisfies three axioms that corresponds to the three...
Quandles are distributive algebraic structures that were introduced by David Joyce [24] in his P...
If A is an abelian quandle and Q is a quandle, the hom set Hom(Q,A) of quandle homomorphisms from Q ...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
E. Bunch, P. Lofgren, A. Rapp and D. N. Yetter [J. Knot theory Ramifications (2010)] pointed out tha...
Quandles are mathematical structures that have been mostly studied in knot theory, where they determ...
Cocycles are constructed by polynomial expressions for Alexander quandles. As applications, non-triv...
AbstractAlgorithms are described and Maple implementations are provided for finding all quandles of ...
Abstract The quandle homology theory is generalized to the case when the coecient groups admit the s...
Geometric representations of cycles in quandle homology theory are given in terms of colored knot di...
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