24 citations · 182 across the 31 of their papers we have counts for
4 papers · 1 filter
Alexander and Markov theorems for virtual doodles
Neha Nanda, Mahender Singh
Study of certain isotopy classes of a finite collection of immersed circles without triple or higher intersections on closed oriented surfaces can be thought of as a planar analogu…
Quandle cohomology, extensions and automorphisms
Valeriy Bardakov, Mahender Singh
The paper establishes new relationship between cohomology, extensions and automorphisms of quandles. We derive a four term exact sequence relating quandle 1-cocycles, second quandl…
Automorphisms of odd Coxeter groups
Tushar Kanta Naik, Mahender Singh
An odd Coxeter group is one which admits a Coxeter system for which all the exponents are either odd or infinity. The paper investigates the family of odd Coxe…
Zero-divisors and idempotents in quandle rings
Valeriy G. Bardakov, Inder Bir S. Passi, Mahender Singh
The paper develops further the theory of quandle rings which was introduced by the authors in a recent work. Orderability of quandles is defined and many interesting examples of or…