Structure of Birkhoff center of c-semirings
R. Sarkar, Sukhendu Kar, Bijon Biswas, Sudipta Purkait · Asian-European Journal of Mathematics · 2019
In [Kar, Purkait and Sarkar, Birkhoff center of [Formula: see text]-semiring, Asian-Europ. J. Math. 12(1) (2019) 1950003, 11 pp.], Kar et al. introduced the notion of Birkhoff center of a [Formula: see text]-semiring and obtained some characterizations of this center. In this paper, we study different types of lattice structures of Birkhoff center of a [Formula: see text]-semiring. We also prove that if two [Formula: see text]-semirings are isomorphic, then their Birkhoff centers are isomorphic but the converse is not necessarily true.