Geodesic
Three theorems on linear ordered periodic semigroups
Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 187-196.

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This paper is devoted to some classes of linearly ordered periodic semigroups ($op$-semigroups). Theorem 1 yields an abstract characteristic of $op$-semigroups with different contractibility and reversibility. Theorem 2 describes completely pre-ordered nilsemigroups. The Dubreil result that an $op$-semigroup with commutative subsemigroup of idempotents $E$ is residual of their convex nilsubsemigroups is extended in the last theorem, to the case of some non-commutative $E$. 
@article{MZM_1969_6_2_a6,
     author = {E. Ya. Gabovich},
     title = {Three theorems on linear ordered periodic semigroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {187--196},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a6/}
}
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E. Ya. Gabovich. Three theorems on linear ordered periodic semigroups. Matematičeskie zametki, Tome 6 (1969) no. 2, pp. 187-196. http://geodesic.mathdoc.fr/item/MZM_1969_6_2_a6/