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Inverse Near Permutation Semigroups

Semigroup Forum, 2004
The symbol \({\mathcal T}_N\) denotes the semigroup, under composition, of all selfmaps of a set \(X\) with \(N\) elements. The `rank' of an element \(\alpha\in{\mathcal T}_N\) is defined to be \(|X\alpha|\). A subsemigroup of \({\mathcal T}_N\) is defined to be a `near permutation semigroup' if it is generated by a group \(G\) of permutations together
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F-Inverse Semigroups

Proceedings of the London Mathematical Society, 1971
McFadden, R., O'Carroll, L.
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Semimodular Inverse Semigroups

Journal of the London Mathematical Society, 1978
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FUNDAMENTAL INVERSE SEMIGROUPS

The Quarterly Journal of Mathematics, 1970
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Distributive Inverse Semigroups

Journal of the London Mathematical Society, 1978
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