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strongly $(P)$-cyclic; right $PCP$; Rees factor act

References:

[1] Howie, J. M.: **Fundamentals of Semigroup Theory**. London Mathematical Society Monographs, OUP (1995). MR 1455373 | Zbl 0835.20077

[2] Kilp, M.: **Characterization of monoids by properties of their left Rees factors**. Tartu Ül. Toimetised 640 (1983), 29-37. MR 0706740

[3] Kilp, M., Knauer, U., Mikhalev, A.: **Monoids, Acts and Categories: With Applications to Wreath Products and Graphs: A Handbook for Students and Researchers**. Walter de Gruyter, Berlin (2000). MR 1751666 | Zbl 0945.20036

[4] Laan, V.: **Pullbacks and flatness properties of acts**. PhD Thesis, Tartu (1999). MR 1720086 | Zbl 1011.20500

[5] Laan, V.: **Pullbacks and flatness properties of acts I**. Comm. Algebra 29 (2001), 829-850. DOI 10.1081/AGB-100001547 | MR 1842004 | Zbl 0987.20047

[6] Normak, P.: **Analogies of QF-ring for monoids. I**. Tartu Ül. Toimetised 556 (1981), 38-46. MR 0630693

[7] Tran, L. H.: **Characterizations of monoids by regular acts**. Period. Math. Hung. 16 (1985), 273-279. DOI 10.1007/BF01848077 | MR 0833262