Quandle rings-Reference-Cited by-同舟云学术

Quandle rings

Published:2019-07-05 Issue:08 Volume:18 Page:1950157
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Bardakov Valeriy G.¹²,Passi Inder Bir S.³⁴,Singh Mahender⁴

Affiliation:

1. Sobolev Institute of Mathematics and Novosibirsk State University, Novosibirsk 630090, Russia

2. Novosibirsk State Agrarian University, Dobrolyubova Street, 160, Novosibirsk 630039, Russia

3. Center for Advanced Study in Mathematics, Panjab University, Chandigarh 160014, India

4. Department of Mathematical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, Sector 81, S. A. S. Nagar, P. O. Manauli, Punjab 140306, India

Abstract

In this paper, a theory of quandle rings is proposed for quandles analogous to the classical theory of group rings for groups, and interconnections between quandles and associated quandle rings are explored.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498819501573

Reference27 articles.

1. From racks to pointed Hopf algebras

2. Automorphism groups of quandles arising from groups

3. V. G. Bardakov, T. R. Nasybullov and M. Singh, Automorphism groups of quandles and related groups, Monatsh. Math. (2018), https://doi.org/10.1007/s00605-018-1202-y.

4. Introductory lectures on knot theory;Carter J. S.,2012

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