On the determinability of free trioids by semigroups of endomorphisms
DOI:
https://doi.org/10.15407/dopovidi2015.04.007Keywords:
endomorphisms, free trioids, semigroupAbstract
We prove that the endomorphism semigroups of two free trioids are isomorphic if and only if the corresponding free trioids are isomorphic.
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Loday J.-L., Ronco M. O. Contemp. Math., 2004, 346: 369–398. https://doi.org/10.1090/conm/346/06296
Novelli J.-C., Thibon J. Y. C. R. Math. Acad. Sci Paris, 2006, 342, No 6: 365–369. https://doi.org/10.1016/j.crma.2006.01.009
Casas J. M. Bol. Soc. Mat. Mexicana, 2006, 12, No 2: 165–178.
Zhuchok A.V. Ukr. math. zhurn., 2014, 66, No 2: 195–207 (in Ukrainian).
Loday J.-L. In: Dialgebras and related operads, Berlin: Springer, 2001: 7–66. https://doi.org/10.1007/3-540-45328-8_2
Zhuchok A. V. J. Math. Sci, 2012, 187, No 2: 138–145. https://doi.org/10.1007/s10958-012-1056-0
Zhuchok Yu. V. Asian-European. J. Math., 2014. 7, 1450006: 13
Ulam S. M. A collection of mathematical problems, New York; London: Interscience Publishers, 1960 (Interscience Tracts in Pure and Applied Mathematics, No 8).
Araujo J., Konieczny J. Semigroup Forum, 2005, 70: 302–306. https://doi.org/10.1007/s00233-004-0164-7
Gluskin L.M. Mathem. sb. 1961, 55 (97), No 4: 421–448 (in Russian).
Bondar E.A., Zhuchok Yu.V. Fundament. i Pryklad. Matem., 2013, 18, No 1: 21–34 (in Russian).
Plotkin B. I. Seven lectures on the universal algebraic geometry. – Jerusalem: Inst. of Math. of Hebrew Univ., 2000.
Formanek E. Proc. Amer. Math. Soc., 2001, 130: 935–937. https://doi.org/10.1090/S0002-9939-01-06155-X
Schein B. M., Mashevitzky G. Proc. Amer. Math. Soc., 2003, 131: 1655–1660. https://doi.org/10.1090/S0002-9939-03-06923-5
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