Geodesic
Identities of groupoids of relations with operation of cylindered intersection
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2018), pp. 12-20 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the paper we find the systems of axioms for classes of groupoids of binary relations with the operation of cylindered intersection.
Keywords: algebra of relation, diophantine operation, identity, quasiidentity, variety, quasivariety, ordered groupoid.
Mots-clés : groupoid 
@article{IVM_2018_8_a1,
     author = {D. A. Bredikhin},
     title = {Identities of groupoids of relations with operation of cylindered intersection},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {12--20},
     year = {2018},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_8_a1/}
}
TY  - JOUR
AU  - D. A. Bredikhin
TI  - Identities of groupoids of relations with operation of cylindered intersection
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2018
SP  - 12
EP  - 20
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/IVM_2018_8_a1/
LA  - ru
ID  - IVM_2018_8_a1
ER  - 
%0 Journal Article
%A D. A. Bredikhin
%T Identities of groupoids of relations with operation of cylindered intersection
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2018
%P 12-20
%N 8
%U http://geodesic.mathdoc.fr/item/IVM_2018_8_a1/
%G ru
%F IVM_2018_8_a1
D. A. Bredikhin. Identities of groupoids of relations with operation of cylindered intersection. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2018), pp. 12-20. http://geodesic.mathdoc.fr/item/IVM_2018_8_a1/

[1] Tarski A., “On the calculus of relations”, J. Symbolic Logic, 4 (1941), 73–89 | DOI | MR

[2] Lyndon R. C., “The representation of relation algebras. II”, Ann. Math., 63 (1956), 294–307 | DOI | MR | Zbl

[3] Monk D. M., “On representable relation algebras”, Michigan Math. J., 11 (1964), 207–210 | DOI | MR | Zbl

[4] Jónsson B., “Representation of modular lattices and of relation algebras”, Trans. Amer. Math. Soc., 92 (1959), 449–464 | DOI | MR | Zbl

[5] Andreka H., Bredikhin D. A., “The equational theory of union-free algebras of relations”, Alg. Univers., 33 (1994), 516–532 | DOI | MR

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

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

[8] Böner P., Pöschel F. R., “Clones of operations on binary relations”, Contributions to general algebras, 7 (1991), 50–70 | MR

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

[10] Bredikhin D. A., “Varietes of groupoids associated with involuted restrictive bisemigroups of binary relations”, Semigroup Forum, 44 (1992), 87–192 | DOI | MR

[11] Bredikhin D. A., “On relation algebras with general superpositions”, Colloq. Math. Soc. J. Bolyai, 54 (1994), 11–124 | MR

[12] Bredikhin D. A., “O mnogoobrazii gruppoidov binarnykh otnoshenii”, Izv. Saratovsk. un-ta. Nov. ser. Ser. Matem. Mekhan. Informatika, 13:1-1 (2013), 93–98

[13] Bredikhin D. A., “O mnogoobrazii gruppoidov otnoshenii s diofantovymi operatsiyami”, Izv. Saratovsk. un-ta. Nov. ser. Ser. Matem. Mekhan. Informatika, 13:4-2 (2013), 28–34

[14] Bredikhin D. A., “On varieties of groupoids of relations with operation of binary cylindrofication”, Alg. Univers., 73 (2015), 43–52 | DOI | MR | Zbl

[15] Henkin L., Monk J. D., Tarski A., Cylindric algebras, v. I, North-Holland Publishing Company, Amsterdam–London, 1971 | MR | Zbl