18 citations · 28 across the 9 of their papers we have counts for
6 papers · 1 filter
Units and Augmentation Powers in Integral Group Rings
Sugandha Maheshwary, Inder Bir S. Passi
The augmentation powers in an integral group ring induce a natural filtration of the unit group of analogous to the filtration of the group given by i…
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…
Group rings and the RS-property
Gurmeet K. Bakshi, Sugandha Maheshwary, Inder Bir S. Passi
The object of this paper is to study (infinite) groups whose integral group rings have only trivial central units. This property is closely related to a property, here called the R…
Dimension Quotients of Metabelian Lie Rings
Inder Bir S. Passi, Thomas Sicking
For a Lie ring over the ring of integers, we compare its lower central series and its dimension series defined by setting $δ_n(L)=…
Lie Dimension Subrings
Laurent Bartholdi, Inder Bir S. Passi
We compare, for L a Lie ring over the integers, its lower central series (γ_n(L))_{n>0} and its dimension series defined by δ_n(L):=L\cap \varpi^n(L) in the universal enveloping al…
Hyperbolic Unit Groups and Quaternion Algebras
S. O. Juriaans, I. B. S. Passi, A. C. Souza Filho
We Classify the rational quadratic extensions K and the finite groups G for which the group ring R[G] of G over the ring R of integers of K has the property that the group of units…