Geodesic
The Structure of Normal Inverse Semigroups
Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 1-9

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In a recent paper [1] we showed that there is a (1,) -correspondence between the homomorphisms of an inverse semigroup S and its normal subsemigroups. The normal subsemigroup of S corresponding to and determining the homomorphism μ of S is the inverse image under μ of the set of idempotents of Sμ and is called the kernel of the homomorphism μ. The inverse image of each idempotent of Sμ is itself an inverse semigroup [1], and each such inverse semigroup is said to be a component of the normal subsemigroup determined by μ. 
Preston, G. B. The Structure of Normal Inverse Semigroups. Glasgow mathematical journal, Tome 2 (1956) no. 1, pp. 1-9. doi: 10.1017/S2040618500033360
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[1] 1.Preston, G. B., Inverse semi-groups, London Math. Soc., 29 (1954), 396–403. Google Scholar | DOI

[2] 2.Clifford, A. H., Bands of semigroups, Proc. Amer. Math. Soc. 5 (1954), 499–504. Google Scholar | DOI

[3] 3.Clifford, A. H., Semigroups admitting relative inverses, Ann. of Math., 42 (1941), 1037–1049. Google Scholar | DOI

[4] 4.Liber, A. E., K teorii obobščennyh grupp, Dokl. Akad. Nauk. SSSR, 97 (1954), 25–28. Google Scholar

[5] 5.Croisot, R., Demi-groupes inversifs et demi-groupes réunions de demi-groupes simples, Ann. de L'école Nortn., (3) 70 (1953), 361–379. Google Scholar | DOI

[6] 6.Munn, W. D. and Penrose, R., A note on inverse semigroups, Proc. Cambridge Phil. Soc. 51 (1955), 396–399. Google Scholar | DOI

[7] 7.Vagner, V. V., Obobščennye gruppy, Dokl. Akad. Nauk. SSSR, 84 (1952), 1119–1122. Google Scholar

[8] 8.Clifford, A. H., Extensions of semigroups, Trans. Amer. Math. Soc. 68 (1950), 165–173. Google Scholar | DOI

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