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math.AC2026
Some Properties of Path and Closed Neighborhood Ideals
Hafsa Bibi, Azhar Farooq, Hanni Garminia +1
In this paper, we investigate algebraic properties of two classes of monomial ideals associated with graphs, namely path ideals and closed neighborhood ideals. Our primary focus is…
math.AC2026
Rota Baxter Operators on Truncated Polynomial Algebras
Azhar Farooq
Let K be a field of characteristic zero, and let m=(x_1,...,x_n)) be a maximal ideal of the polynomial ring K[x_1,...,x_n]. We classify all Rota--Baxter operators of weights zero a…
math.AC2026
Rota-Baxter Operators on Dual Quaternion Algebra
Kamran Shakoor, Azhar Farooq, Hassan Oubba
The purpose of this paper is to determine all Rota-Baxter operators on dual quaternion algebra over the reals.