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arxiv: 1204.6602 · v2 · pith:FAM6AZ6Cnew · submitted 2012-04-30 · 🧮 math.GR

Ideals and finiteness conditions for subsemigroups

classification 🧮 math.GR
keywords conditionsfinitenessidealsconsiderconsiderationfinitegreenideal
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In this paper we consider a number of finiteness conditions for semigroups related to their ideal structure, and ask whether such conditions are preserved by sub- or supersemigroups with finite Rees or Green index. Specific properties under consideration include stability, D=J and minimal conditions on ideals.

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