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Języki publikacji
Abstrakty
The one-term distributive homology was introduced in [Prz] as an atomic replacement of rack and quandle homology, which was first introduced and developed by Fenn-Rourke-Sanderson [FRS] and Carter-Kamada-Saito [CKS]. This homology was initially suspected to be torsion-free [Prz], but we show in this paper that the one-term homology of a finite spindle may have torsion. We carefully analyze spindles of block decomposition of type (n,1) and introduce various techniques to compute their homology precisely. In addition, we show that any finite group can appear as the torsion subgroup of the first homology of some finite spindle. Finally, we show that if a shelf satisfies a certain, rather general, condition then the one-term homology is trivial-this answers a conjecture from [Prz] affirmatively.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
75-94
Opis fizyczny
Daty
wydano
2014
Twórcy
autor
- Department of Mathematics, Loyola Marymount University, Los Angeles, CA 90045, U.S.A.
autor
- Department of Mathematics, George Washington University, Washington, DC 20052, U.S.A.
- Institute of Mathematics, University of Gdańsk, 80-952 Gdańsk, Poland
autor
- Department of Mathematics, Columbia University, New York, NY 10027, U.S.A.
Bibliografia
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Bibliografia
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bwmeta1.element.bwnjournal-article-doi-10_4064-fm225-1-5