3 papers
math.RA2026
Invertibility of Anticommutator and Commutators of Higher Degree of -potent Elements
Vivek Bhabani Lama, Suhas B N
We introduce and study the notion of commutators and anti-commutator of higher degrees for ring elements, which generalize the concept of commutator and anti-commutator of ring ele…
math.AC2026
Licci Property of Complementary Edge Ideals
Vivek Bhabani Lama
In this article, we characterize the class of complementary edge ideals which satisfy the licci property in terms of the underlying graph. Using this characterization, we associate…
math.AC2025
Defect Functions Between Filtrations of Ideals
Arindam Banerjee, Tai Huy Ha, Vivek Bhabani Lama
We introduce and study the defect function associated to a pair of filtrations of ideals, which generalizes the symbolic defect of ideals. Under the assumption that the Rees algebr…