On the generalization of Conway algebra

On the generalization of Conway algebra

“…Theorem 2.3. [2] Let L be the set of equivalence classes of oriented link diagrams modulo Reidemeister moves. Let ( A, •, /, * , //, {a n } ∞ n=1 ) be a generalized Conway algebra.…”

“…In 2017 L. H. Kauffman and S. Lambropoulou [1] constructed new 4-variable polynomial invariants, which are generalized from the Homflypt polynomial, the Dubrovnik polynomial and the Kauffman polynomial. In [2] the author generalized the Conway algebra and constructed the invariant valued in the generalized Conway algebra, which is constructed by applying two skein relations to crossings.…”

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In [2] the author generalized the Conway algebra and constructed the invariant valued in the generalized Conway algebra defined by applying two skein relations to crossings, which is called a generalized Conway type invariant. The generalized Conway type invariant is a generalization of Homflypt polynomial.In this paper we show that an example of links, which have the same value of Homflypt polynomial, but have different values of the generalized Conway type invariant.

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