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Properties of subgenerators of regularized semigroups

Authors:	Sheng Wang Wang

Institution:	Department of Mathematics, Nanjing University, Nanjing 210093, The People's Republic of China

Abstract:	We introduce two operations $\wedge$ , $\vee$ in the set ${\mathcal{G}}$ of subgenerators of a given - regularized semigroup and prove that ${\mathcal{G}}$ is a complete partially ordered lattice with respect to $\wedge$ , $\vee$ and the operator inclusion $\subseteq$ . Also presented are some other properties and examples for ${\mathcal{G}} .$

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