@article{Xian2022, 
author = {Xuliang Xian and Yong Shao and Junling Wang},
title = {Some subvarieties of semiring variety COS                 3              +},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {4293-4303},
keywords = {semiring, Green's relation, congruence, variety of semirings, subvariety},
url = {https://www.sciopen.com/article/10.3934/math.2022237},
doi = {10.3934/math.2022237},
abstract = {In this paper, we study some subvarieties of a semiring variety determined by certain additional identities. We first present alternative characterizations for equivalences              H        +        ∩              L        ⋅  ,              H        +        ∩              R        ⋅  ,              H        +        ∩              D        ⋅  ,              H        +        ∨              L        ⋅  ,              H        +        ∨              R        ⋅  ,              H        +        ∨              D        ⋅  . Then we give the sufficient and necessary conditions for these equivalences to be congruence. Finally, we prove that semiring classes defined by these congruences are varieties and provide equational bases.}
}