In this paper, we characterize left inverses and right inverses of a strong endomorphism of a graph under some certain Green's equivalence conditions. In addition, the number of them is also given.
In this paper,we explicitly describe all the inverses and pseudo-inverses of a strong endomorphism of a graph.The number of them is determined.In addition,we give a characterization of a strong endomorphism whose pseu...In this paper,we explicitly describe all the inverses and pseudo-inverses of a strong endomorphism of a graph.The number of them is determined.In addition,we give a characterization of a strong endomorphism whose pseudo-inverse set coincides with its inverse set.The graph,each strong endomorphism of which has this property,is also investigated.展开更多
An endomorphism on an algebra A is said to be strong if it is compatible with every congruence on A.If every congruence on A,other than the universal congruence,is the kernel of a strong endomorphism on A,then A is sa...An endomorphism on an algebra A is said to be strong if it is compatible with every congruence on A.If every congruence on A,other than the universal congruence,is the kernel of a strong endomorphism on A,then A is said to have the strong endomorphism kernel property.In this paper,we shall give a complete description of the structure of those symmetric extended MS-algebras that have this property via Priestley duality.展开更多
文摘In this paper, we characterize left inverses and right inverses of a strong endomorphism of a graph under some certain Green's equivalence conditions. In addition, the number of them is also given.
文摘In this paper,we explicitly describe all the inverses and pseudo-inverses of a strong endomorphism of a graph.The number of them is determined.In addition,we give a characterization of a strong endomorphism whose pseudo-inverse set coincides with its inverse set.The graph,each strong endomorphism of which has this property,is also investigated.
文摘An endomorphism on an algebra A is said to be strong if it is compatible with every congruence on A.If every congruence on A,other than the universal congruence,is the kernel of a strong endomorphism on A,then A is said to have the strong endomorphism kernel property.In this paper,we shall give a complete description of the structure of those symmetric extended MS-algebras that have this property via Priestley duality.
