Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ADM_2018_25_2_a11, author = {Yurii V. Zhuchok}, title = {Automorphisms of the endomorphism semigroup of a free abelian diband}, journal = {Algebra and discrete mathematics}, pages = {322--332}, publisher = {mathdoc}, volume = {25}, number = {2}, year = {2018}, language = {en}, url = {http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a11/} }
Yurii V. Zhuchok. Automorphisms of the endomorphism semigroup of a free abelian diband. Algebra and discrete mathematics, Tome 25 (2018) no. 2, pp. 322-332. http://geodesic.mathdoc.fr/item/ADM_2018_25_2_a11/
[1] B. I. Plotkin, Seven Lectures on the Universal Algebraic Geometry, Preprint, Institute of Mathematics, Hebrew University, 2000 | MR
[2] B. I. Plotkin, “Algebras with the same (algebraic) geometry”, Proc. of the Steklov Institute of Mathematics, 242 (2003), 176–207 | MR | Zbl
[3] E. Formanek, “A question of B. Plotkin about the semigroup of endomorphisms of a free group”, Proc. AMS, 130 (2001), 935–937 | DOI | MR
[4] G. Mashevitzky, B. M. Schein, “Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup”, Proc. AMS, 131:6 (2003), 1655–1660 | DOI | MR | Zbl
[5] G. Mashevitzky, B. M. Schein, G. I. Zhitomirski, “Automorphisms of the endomorphism semigroup of a free inverse semigroup”, Commun. Algebra, 34:10 (2006), 3569–3584 | DOI | MR | Zbl
[6] Y. Katsov, R. Lipyanski, B. I. Plotkin, “Automorphisms of categories of free modules, free semimodules, and free Lie modules”, Commun. Algebra, 35:3 (2007), 931–952 | DOI | MR | Zbl
[7] G. Mashevitzky, B. Plotkin, E. Plotkin, “Automorphisms of the category of free Lie algebras”, J. Algebra, 282 (2004), 490–512 | DOI | MR | Zbl
[8] A. Kanel-Belov, A. Berzins, R. Lipyanski, Automorphisms of the semigroup of endomorphisms of free associative algebras, 2005, arXiv: math/0512273v3[math.RA]
[9] Yu. V. Zhuchok, “Automorphisms of the endomorphism semigroup of a free commutative dimonoid”, Commun. Algebra, 45:9 (2017), 3861–3871 | DOI | MR | Zbl
[10] Yu. V. Zhuchok, “Automorphisms of the endomorphism semigroup of a free commutative g-dimonoid”, Algebra Discrete Math., 21:2 (2016), 295–310 | MR
[11] V. S. Atabekyan, “The automorphisms of endomorphism semigroups of free burnside groups”, Intern. J. Algebra and Computation, 25:04 (2015), 669–674 | DOI | MR | Zbl
[12] A. Belov-Kanel, R. Lipyanski, “Automorphisms of the endomorphism semigroup of a polynomial algebra”, J. Algebra, 333 (2011), 40–54 | DOI | MR | Zbl
[13] J.-L. Loday, “Dialgebras”, Dialgebras and related operads, Lect. Notes Math., 1763, Springer-Verlag, Berlin, 2001, 7–66 | DOI | MR | Zbl
[14] A. V. Zhuchok, “Free dimonoids”, Ukr. Math. J., 63:2 (2011), 196–208 | DOI | MR | Zbl
[15] A. V. Zhuchok, “Free commutative dimonoids”, Algebra Discrete Math., 9:1 (2010), 109–119 | MR
[16] Yu. V. Zhuchok, “Free abelian dimonoids”, Algebra Discrete Math., 20:2 (2015), 330–342 | MR | Zbl
[17] A. V. Zhuchok, “Structure of relatively free dimonoids”, Commun. Algebra, 45:4 (2017), 1639–1656 | DOI | MR | Zbl
[18] A. V. Zhuchok, “Free $(lr,rr)$-dibands”, Algebra Discrete Math., 15:2 (2013), 295–304 | MR | Zbl
[19] Yu. V. Zhuchok, “Free abelian dibands”, Visnyk of the Lviv Univ. Series Mech. Math., 84 (2017), 15–21 (Ukrainian) | MR