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References
G. Birkhoff and O. Frink, Representations of lattices by sets, Trans. Amer. Math. Soc., 64(1948), 299–316.
D. A. Bredihin, Involuted semigroups of stable binary relations, Studies in Algebra, Saratov Univ. Press, No. 4, 1974, 3–12 (in Russian).
D. A. Bredihin, Bundles of correspondences of semigroups, Contemporary Algebra, Leningrad, No. 4, 1976, 31–47 (in Russian).
D. A. Bredihin, RL-lattices of correspondences of groups, Ordered Sets and Lattices, Saratov Univ. Press, No. 5, 1978, 7–11 (in Russian).
D. A. Bredihin, On determinability of nilsemigroups by their bundles of correspondences, Studies in Contemporary Algebra, Ural Univ. Press, Sverdlovsk, 1978, 3–9 (in Russian).
D. A. Bredihin, Symmetric lattices of correspondences of groups, XV All-Union Conference on Algebra. Summaries of Talks, Part 1, Krasnoyarsk, 1979, 26 (in Russian).
D. A. Bredihin, On determinability of abelian groups by their inverse semigroups of multi-automorphisms, Theory of Semigroups and Its Applications, Saratov Univ. Press, 1983, 58–63 (in Russian).
D. A. Bredihin, Bundles of correspondences and R-isomorphisms of congruence-permutable algebras, Theory of Semigroups and Its Applications, Saratov Univ. Press, 1984, 4–9 (in Russian).
G. Grätzer, Universal Algebra, 2nd edition, Springer-Verlag, New York, 1979.
A. A. Iskander, The lattice of correspondences of a universal algebra, Izv. Akad. Nauk SSSR, Ser. Mat., 29 (1965), 1357–1372 (in Russian).
A. A. Iskander, Partial universal algebras with preassigned lattices of subalgebras and correspondences, Mat. Sb., 70(112):3 (1966), 438–456 (in Russian).
P. G. Kontorovich and K. M. Kutyev, Symmetric lattices, Sibirsk. Mat. Ž., 10(1969), 537–548 (in Russian).
A. G. Kurosh, The Theory of Groups, 3rd edition, Nauka, Moscow, 1967.
A. G. Kurosh, General Algebra (Lectures of the 1969–70 academic year), Nauka, Moscow, 1974.
A. L. Libih, Local automorphisms of monogenic inverse semigroups, Theory of Semigroups and Its Applications, Saratov Univ. Press, No. 4, 1978, 54–59 (in Russian).
P. E. McNeil, Finite commutative subdirectly irreducible semigroups, Trans. Amer. Math. Soc., 172(1972), 57–67.
B. M. Schein, On some classes of semigroups of binary relations, Sibirsk, Mat. Ž., 6(1965), 616–635 (in Russian).
G. I. Žitomirski, Stable binary relations on universal algebras, Mat. Sb., 82(124):2 (1970), 163–174 (in Russian).
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Goberstein, S.M. (1988). Correspondences of semigroups. In: Jürgensen, H., Lallement, G., Weinert, H.J. (eds) Semigroups Theory and Applications. Lecture Notes in Mathematics, vol 1320. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083426
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DOI: https://doi.org/10.1007/BFb0083426
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