Geodesic
Embedding Semigroups in Groups: a Geometrical Approach
Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 69

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A way to visualize Mal'cev quasi-identities is presented. As a consequence an analogy, expressed in a geometric language, is found between Mal'cev and Lambek quasi-identities. These are known to be of a special form which is called stable here; it is proved that certain geometrically characterized sets of stable quasi-identities axiomatize the class of embeddable semigroups. The results of Mal'cev and Lambek are obtained as corollaries. The method of diagrams, borrowed from group theory, enabled us to give a unified treatment which seems to be conceptually simpler than those previously employed.
Classification : 20M10 20F32 
@article{PIM_1985_N_S_38_52_a11,
     author = {Sava Krsti\'c},
     title = {Embedding {Semigroups} in {Groups:} a {Geometrical} {Approach}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {69 },
     publisher = {mathdoc},
     volume = {_N_S_38},
     number = {52},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a11/}
}
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Sava Krstić. Embedding Semigroups in Groups: a Geometrical Approach. Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 69 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a11/