Add to ORKGKnot theory is an important branch of mathematics with applications in other branches of science. In this paper, we explore invariants on a special class of knots, known as virtual knots. We find new invariants by taking quotients of quandles, and introducing the fundamental Latin Alexander quandle and its Grobner basis. We also demonstrate examples of computations of these invariants
V diplomskem delu predstavimo osnove teorije vozlov, nato pa podrobneje predstavimo algebraične stru...
The thesis deal with coloring knots by algebraical structures called quandles. We will introduce the...
We construct a virtual quandle for links in lens spaces L(p, 1). This invariant has two valuable adv...
Defined in [6, 10], the fundamental quandle is a complete invariant of oriented classical knots. We ...
Virtual quandles with two operations are discussed in the article. Certain knot invariant is constru...
AbstractThis paper is an introduction to the theory of virtual knots. It is dedicated to the memory ...
Virtual knot theory, introduced by Kauffman, is a generalization of classical knot theory of interes...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
Publisher's description: "The book is the first systematic research completely devoted to a comprehe...
. We observe that any knot invariant extends to virtual knots. The isotopy classication problem for ...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
From prehistory to the present, knots have been used for purposes both artistic and practical. The m...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
We construct the new non-trivial state-sum invariants for virtual knots and links by a generalizatio...
V diplomskem delu predstavimo osnove teorije vozlov, nato pa podrobneje predstavimo algebraične stru...
The thesis deal with coloring knots by algebraical structures called quandles. We will introduce the...
We construct a virtual quandle for links in lens spaces L(p, 1). This invariant has two valuable adv...
Defined in [6, 10], the fundamental quandle is a complete invariant of oriented classical knots. We ...
Virtual quandles with two operations are discussed in the article. Certain knot invariant is constru...
AbstractThis paper is an introduction to the theory of virtual knots. It is dedicated to the memory ...
Virtual knot theory, introduced by Kauffman, is a generalization of classical knot theory of interes...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
Knot theory has rapidly expanded in recent years. New representations of braid groups led to an extr...
Publisher's description: "The book is the first systematic research completely devoted to a comprehe...
. We observe that any knot invariant extends to virtual knots. The isotopy classication problem for ...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
From prehistory to the present, knots have been used for purposes both artistic and practical. The m...
The goal of this paper is to introduce a new algebraic structure for coloring regions in the planar ...
We construct the new non-trivial state-sum invariants for virtual knots and links by a generalizatio...
V diplomskem delu predstavimo osnove teorije vozlov, nato pa podrobneje predstavimo algebraične stru...
The thesis deal with coloring knots by algebraical structures called quandles. We will introduce the...
We construct a virtual quandle for links in lens spaces L(p, 1). This invariant has two valuable adv...