Kishimoto, Kengo; Shibuya, Tetsuo; Tsukamoto, Tatsuya Simple-ribbon fusions and primeness of knots. (English) Zbl 1400.57007 J. Knot Theory Ramifications 27, No. 10, Article ID 1850057, 11 p. (2018). MSC: 57M25 Knots and links in the \(3\)-sphere (MSC2010) Keywords:ribbon fusions; simple-ribbon fusions; prime knots PDF BibTeX XML Cite \textit{K. Kishimoto} et al., J. Knot Theory Ramifications 27, No. 10, Article ID 1850057, 11 p. (2018; Zbl 1400.57007) Full Text: DOI References: [1] Kawauchi, A., A Survey of Knot Theory, (1996), Birkhäuser Verlag, Basel [2] Kishimoto, K.; Shibuya, T.; Tsukamoto, T., Simple-ribbon fusions and genera of links, J. Math. Soc. Japan, 68, 1033-1045, (2016) · Zbl 1357.57015 [3] Kishimoto, K.; Shibuya, T.; Tsukamoto, T., Simple-ribbon fusions on non-split links, J. Knot Theory Ramifications, 26, 15, (2017) · Zbl 1369.57011 [4] Scharlemann, M. G., Unknotting number one knots are prime, Invent. Math., 82, 37-55, (1985) · Zbl 0576.57004 [5] Shibuya, T.; Tsukamoto, T., Simple ribbon moves and primeness of knots, Tokyo J. Math., 36, 147-161, (2013) · Zbl 1282.57012 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.