Mária B. Szendrei
Abstract
We introduce a notion of almost factorizability within the class of all locally inverse semigroups by requiring a property of order ideals, and we prove that the almost factorizable locally inverse semigroups are just the homomorphic images of Pastijn products of normal bands by completely simple semigroups.
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We introduce a notion of almost factorizability within the class of all locally inverse semigroups by requiring a property of order ideals, and we prove that the almost factorizable locally inverse semigroups are just the homomorphic images of Pastijn products of normal bands by completely simple semigroups.
Key concepts: Mathematics, Inverse, Inverse semigroup, Simple (philosophy), Special classes of semigroups, Order (exchange), Pure mathematics, Property (philosophy)