Geodesic
Modularity conditions of the lattice of congruences of acts over right or left zero semigroups
Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 102-120

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We obtain necessary and sufficient conditions for modularity and distributivity of the lattice of congruences of acts over right or left zeros semigroup, as well as the conditions under which the congruence lattice is a chain. We describe the congruences of arbitrary act over left zero semigroup. 
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     author = {A. R. Khaliullina},
     title = {Modularity conditions of the lattice of congruences of acts over right or left zero semigroups},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
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     number = {1},
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A. R. Khaliullina. Modularity conditions of the lattice of congruences of acts over right or left zero semigroups. Dalʹnevostočnyj matematičeskij žurnal, Tome 15 (2015) no. 1, pp. 102-120. http://geodesic.mathdoc.fr/item/DVMG_2015_15_1_a9/