Geodesic
Identities of semigroups of relations with an operator of reflexive double cylindrification
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 90-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper we find a basis of identities for the variety generated by semigroups of relations with an operation of reflexive double cylindrification.
Keywords: algebra of relations, varieties, basis of identities
Mots-clés : reflexive double cylindrification. 
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D. A. Bredikhin; A. V. Popovich. Identities of semigroups of relations with an operator of reflexive double cylindrification. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2014), pp. 90-95. http://geodesic.mathdoc.fr/item/IVM_2014_8_a9/

[1] Tarski A., “On the calculus of relations”, J. Symbolic Logic, 6:3 (1941), 73–89 | DOI | MR | Zbl

[2] Schein B. M., “Relation algebras and function semigroups”, Semigroup Forum, 1:1 (1970), 1–62 | DOI | MR | Zbl

[3] Bredikhin D. A., “Ob algebrakh otnoshenii s diofantovymi operatsiyami”, Dokl. RAN, 360 (1998), 594–595 | MR | Zbl

[4] Bredikhin D. A., “O kvazitozhdestvakh algebr otnoshenii s diofantovymi operatsiyami”, Sib. matem. zhurn., 38:1 (1997), 29–41 | MR | Zbl

[5] Böner P., Pöschel F. R., “Clones of operations on binary relations”, Contributions to General Algebra, 7 (1991), 50–70

[6] Henkin L., Monk J. D., Tarski A., Cylindric algebras, North-Holland, Amsterdam, 1971 | MR | Zbl

[7] Kuhn S., “The domino relations: flattening a two-dimensional logic”, J. Philosophical Logic, 18 (1989), 173–195 | DOI | MR | Zbl

[8] Venema Y., Many-dimensional modal logic, Universiteit van Amsterdam, Amsterdam, 1989

[9] Jónsson B., “Varieties of relation algebras”, Algebra Univers., 54 (1982), 273–299 | DOI | MR

[10] Schein B. M., “Representation of involuted semigroups by binary relations”, Fundam. Math., 82:2 (1974), 121–141 | MR | Zbl

[11] Bredikhin D. A., “On varieties of semigroups of relations with operations of cylindrification”, Contributions to General Algebra, 16 (2005), 1–6 | MR | Zbl

[12] Bredikhin D. A., “Ekvatsionalnaya teoriya algebr otnoshenii s pozitivnymi operatsiyami”, Izv. vuzov. Matem., 1993, no. 3, 23–30 | MR | Zbl