TL;DR
This paper introduces bilinear biquandles, a new algebraic structure extending symplectic quandles, and demonstrates their use in defining novel knot and link invariants with illustrative examples.
Contribution
It presents the concept of bilinear biquandles as a generalization of symplectic quandles and develops new invariants for knots and links based on this structure.
Findings
Defined bilinear biquandles as a new algebraic structure.
Constructed new knot and link invariants using bilinear biquandles.
Provided examples illustrating the application of these invariants.
Abstract
We define a type of biquandle which is a generalization of symplectic quandles. We use the extra structure of these bilinear biquandles to define new knot and link invariants and give some examples.
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