Some Properties of Closure Operator and Inner Operator
LI Sheng-gang
Abstract
LI Sheng-gang
Abstract
Some properties of the inner operator and closure operator are studied.The number of the inner operator and closure operator on a finite chain is solved.Then it sets up two order isomorphisms and finds an equivalent condition of a map to be an inner operator or a closour operator.
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Some properties of the inner operator and closure operator are studied.The number of the inner operator and closure operator on a finite chain is solved.Then it sets up two order isomorphisms and finds an equivalent condition of a map to be an inner operator or a closour operator.
Key concepts: Shift operator, Operator (biology), Finite-rank operator, Quasinormal operator, Mathematics, Semi-elliptic operator, Closure operator, Displacement operator