Distributive Lattices of M-Rectangular Divided-semirings
Yong Shao, Xianzhong Zhao · Algebra Colloquium · 2013
In this paper, we first introduce the so-called M-rectangular divided-semirings and distributive lattices of M-rectangular divided-semirings. We then discuss the relations between such a semiring and its multiplicative semigroup. Finally, we investigate subdirect product decompositions of these semirings and obtain some interesting results.