18 citations · 28 across the 9 of their papers we have counts for
16 papers
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…
Quandle rings
Valeriy G. Bardakov, Inder Bir Singh Passi, Mahender Singh
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…
Dimension quotients, Fox subgroups and limits of functors
Roman Mikhailov, Inder Bir S. Passi
This paper presents a description of the fourth dimension quotient, using the theory of limits of functors from the category of free presentations of a given group to the category…
Narain Gupta's three normal subgroup problem and group homology
Roman Mikhailov, Inder Bir S. Passi
This paper is about application of various homological methods to classical problems in the theory of group rings. It is shown that the third homology of groups plays a key role in…