Anthony W. Hager

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math.GR2026

Semi-boolean and Yosida $ℓ$ -groups, Martinez and Yosida frames, and the $G + B$ construction

Papiya Bhattacharjee, Anthony W. Hager, Warren Wm. McGovern +1

The class of semi-boolean $ℓ$ -groups was introduced in 1968 by A. Bigard. These are the $ℓ$ -groups $G$ in which the principal convex $ℓ$ -subgroup $G (a)$ generated by any $…

math.GR2024

Archimedean l-groups with strong unit: cozero-sets and coincidence of types of ideals

Papiya Bhattacharjee, Anthony W. Hager, Warren Wm. McGovern +1

$W^{*}$ is the category of the archimedean l-groups with distinguished strong order unit and unit-preserving l-group homomorphisms. For $G \in W^{*}$ , we have the canonical c…

Semi-boolean and Yosida ℓ-groups, Martinez and Yosida frames, and the G+B construction

Archimedean l-groups with strong unit: cozero-sets and coincidence of types of ideals

Semi-boolean and Yosida $ℓ$ -groups, Martinez and Yosida frames, and the $G + B$ construction