Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Properties of subgenerators of $C-$ regularized semigroups

Author(s): Sheng Wang Wang
Journal: Proc. Amer. Math. Soc. 126 (1998), 453-460.
MSC (1991): Primary 47D05, 47D06, 47F05
MathSciNet review: 1423337
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Abstract: We introduce two operations $\wedge$ , $\vee$ in the set ${\mathcal{G}}$ of subgenerators of a given $C$ - 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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