18 citations · 28 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
Free Group Rings and Derived Functors
Roman Mikhailov, Inder Bir S. Passi
An approach to identify the normal subgroups determined by ideals in free group rings with the help of the derived functors of non-additive functors is explored. A similar approach…
The subgroup determined by a certain ideal in a free group ring
Roman Mikhailov, Inder Bir S. Passi
For normal subgoups and of a free group , an identification of the subgroup is derived, and it is shown that the the quotie…
Generalized dimension subgroups and derived functors
Roman Mikhailov, Inder Bir S. Passi
Every two-sided ideal in the integral group ring of a group determines a normal subgroup of . In this paper certain…