In this paper we introduce derivations in hyperlatices and derive some basic properties of them. Also, some properties of differential hyperideals and differential hypercongruences are studied. Further we prove that f...In this paper we introduce derivations in hyperlatices and derive some basic properties of them. Also, some properties of differential hyperideals and differential hypercongruences are studied. Further we prove that for an injective strong differential hyperlattice（L, d） and for a strongly differential hypercongruence R of（L, d）, the quotient hyperlattice（L/R, g） is an injective strongly differential hyperlattice, where g is an injective strong derivation on L/R induced by d.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11571281)
文摘In this paper we introduce derivations in hyperlatices and derive some basic properties of them. Also, some properties of differential hyperideals and differential hypercongruences are studied. Further we prove that for an injective strong differential hyperlattice（L, d） and for a strongly differential hypercongruence R of（L, d）, the quotient hyperlattice（L/R, g） is an injective strongly differential hyperlattice, where g is an injective strong derivation on L/R induced by d.
