The natural partial order on an abundant semigroup
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In this paper we will study the properties of a natural partial order which may bedefined on an arbitrary abundant semigroup: in the case of regular semigroups werecapture the order introduced by Nambooripad [24]. For abelian PP rings our order coincides with a relation introduced by Sussman [25], Abian [1, 2] and further studied by Chacron [7]. Burmistroviˇ [6] investigated Sussman's order on separative semigroups. In the abundant case his order coincides with ours: some order theoretic properties of such semigroups may be found in a paper by Burgess [5].
- University of York United Kingdom
Ideal theory for semigroups, Green relations, natural partial order, locally type A semigroups, Mappings of semigroups, idempotent connected semigroups, General structure theory for semigroups, abundant semigroups, regular semigroups
Ideal theory for semigroups, Green relations, natural partial order, locally type A semigroups, Mappings of semigroups, idempotent connected semigroups, General structure theory for semigroups, abundant semigroups, regular semigroups
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