In [11], the author introduced inverse semimodules. Recently, in [8], we further studied properties of inverse semimodules and Clifford semimodules. In this paper, we consider inverse semimodules over a semiring R such that R is a distributive lattice of rings. In [3], the authors introduced von Neumann regular module and studied its properties. In this paper, we introduce von Neumann regular semimodule and study its different interesting properties.

https://www.math.uaic.ro/~annalsmath/pdf-uri%20anale/F2(2021)/8_MK_Sen_SK_Maity_Sabnam_Swomin.pdf

S. K. Maity

Papers

Von Neumann regular semimodule