ℓ-Groups with restricted conditions on large convex ℓ-subgroups
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The main aim of the present paper is to study ℓ-groups with restricted conditions on large convex ℓ-subgroups, including the atomic condition and the descending chain condition. We will give an explicit description for them. As an application, we will establish another property equivalent to Conrad’s Finite Basis Theorem.
Mathematics Subject Classification (2000).06F15 06B23
Key words and phrases.ℓ-group atomic condition descending chain condition large convex ℓ-subgroup Conrad’s Finite Basis Theorem
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