20.500.12556/RUL-155462 Knot quandle decomposition along a torus We study the structure of the augmented fundamental quandle of a knot whose complement contains an incompressible torus. We obtain the relationship between the fundamental quandle of a satellite knot and the fundamental quandles/groups of its companion and pattern knots. General presentations of the fundamental quandles of a link in a solid torus, a link in a lens space and a satellite knot are described. In the last part of the paper, an algebraic approach to the study of affine quandles is presented and some known results about the Alexander module and quandle colorings are obtained. augmented fundamental quandle links in the solid torus satellite knots links in lens spaces Alexander quandle quandle colorings povečani temeljni kvantil satelitski vozli Aleksandrov kvandel obarvanost kvandla matematika true false true Angleški jezik Slovenski jezik Članek v reviji 2024-04-03 12:04:30 2024-04-03 12:04:30 2024-04-06 04:17:32 0000-00-00 00:00:00 2024 0 0 27 str. no. 1, art. 2350098 Vol. 33 2024 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 51 1793-6527 10.1142/S0218216523500980 190537731 RAZ_Bonatto_Marco_2024.pdf RAZ_Bonatto_Marco_2024.pdf 1 78A62B6852B590DF5A8556B396070436 0f62189ff03aaf5a5fd2ccafa6afd2866bdc773a0d567131096cd22ff08c622f f49ce773-f26b-11ee-87dd-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=182404 https://www.worldscientific.com/doi/10.1142/S0218216523500980 1 8f32efd0-f1a1-11ee-853b-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=182361 Pedagoška fakulteta 0 0 0