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The Structure of 0-<i>E</i>-unitary inverse semigroups I: the monoid case

The Structure of 0-<i>E</i>-unitary inverse semigroups I: the monoid case

This is the first of three papers in which we generalise the classical McAlister structure theory for E -unitary inverse semigroups to those 0 -E -unitary inverse semigroups which admit a 0-restricted, idempotent pure prehomomorphism to a primitive inverse semigroup. In this paper, we concentrate on finding necessary and sufficient …