The semigroup algebras $\ell ^1({\mathbb {N}}_{\gcd })$ and $\ell ^1({\mathbb {N}}_{\textrm{lcm}})$ are BSE and BED-algebras

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2026年1月29日

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Prakash A. Dabhi,
Kashyap G. Rachchh,
Sin-Ei Takahasi

摘要

We show that the semigroup algebras $\ell ^1({\mathbb {N}}_{\gcd })$ $ℓ^{1} (N_{gcd})$ and $\ell ^1({\mathbb {N}}_{\textrm{lcm}})$ $ℓ^{1} (N_{lcm})$ are both BSE-algebras and BED-algebras.

The semigroup algebras \(\ell ^1({\mathbb {N}}_{\gcd })\) and \(\ell ^1({\mathbb {N}}_{\textrm{lcm}})\) are BSE and BED-algebras

摘要