Geodesic
Cross-sections of Green's relations in a symmetric inverse $0$-category
Algebra i logika, Tome 51 (2012) no. 4, pp. 458-475

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All cross-sections that correspond to five Green relations $\mathscr{L,R,H,J}$, and $\mathscr D$ in a symmetric inverse $0$-category are described. The number of all such cross-sections in the finite case is counted. The cross-sections mentioned are classified up to isomorphism.
Keywords: cross-section, Green's relation, symmetric inverse $0$-category. 
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     author = {Yu. V. Zhuchok},
     title = {Cross-sections of {Green's} relations in a~symmetric inverse $0$-category},
     journal = {Algebra i logika},
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     volume = {51},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_4_a2/}
}
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Yu. V. Zhuchok. Cross-sections of Green's relations in a symmetric inverse $0$-category. Algebra i logika, Tome 51 (2012) no. 4, pp. 458-475. http://geodesic.mathdoc.fr/item/AL_2012_51_4_a2/