Geodesic
Semigroups presented by one relation and satisfying the Church--Rosser property
Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 114-118.

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This paper is devoted to the study of semigroups presented by a single defining relation $A=B$ and satisfying the Church–Rosser property. 
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Yu. E. Trubitsyn. Semigroups presented by one relation and satisfying the Church--Rosser property. Matematičeskie zametki, Tome 61 (1997) no. 1, pp. 114-118. http://geodesic.mathdoc.fr/item/MZM_1997_61_1_a9/

[1] Book R. V., “A note on special Thue systems with a single defining relation”, Math. Systems Theory, 16 (1983), 57–60 | DOI | MR | Zbl

[2] Otto F., Wrathall C., “A note on Thue systems with a single defining relation”, Math. Systems Theory, 18 (1985), 135–143 | DOI | MR | Zbl

[3] Adyan S. I., Oganesyan G. U., “K problemam ravenstva i delimosti v polugruppakh s odnim opredelyayuschim sootnosheniem”, Izv. AN SSSR. Ser. matem., 42:2 (1978), 219–225 | MR | Zbl

[4] Adyan S. I., “Opredelyayuschie sootnosheniya i algoritmicheskie problemy dlya grupp i polugrupp”, Tr. MIAN, 85, Nauka, M., 1966, 1–124

[5] Madlener K., Otto F., “About the descriptive power of certain classes of finite string-rewriting systems”, Theoret. Comput. Sci., 67 (1989), 143–172 | DOI | MR | Zbl

[6] Book R. V., “Thue systems as rewriting systems”, J. Symbolic Comput., 3 (1987), 39–68 | DOI | MR | Zbl

[7] Howie J., Pride S. J., “The word problem for one-relator semigroups”, Math. Proc. Cambridge Philos. Soc., 99 (1986), 33–44 | DOI | MR | Zbl

[8] Adyan S. I., “K probleme delimosti dlya monoidov, zadannykh odnim sootnosheniem”, Matem. zametki, 55:1 (1994), 3–9 | MR | Zbl

[9] Otto F., “Conjugacy in monoids with a special Church–Rosser presentation is decidable”, Semigroup Forum, 29 (1984), 223–240 | DOI | MR | Zbl

[10] Yue Zh., Oppen D., “Ravenstva i pravila perepisyvaniya”, Matematicheskaya logika v programmirovanii, Mir, M., 1991, 176–232

[11] Adyan S. I., “O preobrazovaniyakh slov v polugruppe, zadannoi sistemoi opredelyayuschikh sootnoshenii”, Algebra i logika, 15:6 (1976), 611–621 | MR | Zbl

[12] Remmers J. H., “On the geometry of semigroup presentations”, Adv. Math., 36 (1980), 283–296 | DOI | MR | Zbl