2 papers
math.RA2025
On semicommutativity of rings relative to hypercenter
Nazeer Ansari, Kh. Herachandra singh
Armendariz and semicommutative rings are generalizations of reduced rings. In \cite{IN}, I.N. Herstein introduced the notion of a hypercenter of a ring to generalize the center sub…
math.RA2024
On Nil-semicommutative Modules
M. Rhoades, Kh. Herachandra, Nazeer Ansari
In this paper, we introduce a new concept in Nil-semicommutative modules and present it as an extension of Nil-semicommutative rings to modules. We prove that the class of Nil-semi…