On an Element-by-Element Description of the Monoid of all Endomorphisms of an Arbitrary Groupoid and One Classification of Endomorphisms of a Groupoid-Reference-Cited by-同舟云学术

On an Element-by-Element Description of the Monoid of all Endomorphisms of an Arbitrary Groupoid and One Classification of Endomorphisms of a Groupoid

Published:2023-08 Issue:S1 Volume:321 Page:S170-S185
ISSN:0081-5438
Container-title:Proceedings of the Steklov Institute of Mathematics
language:en
Short-container-title:Proc. Steklov Inst. Math.

Author:

Litavrin A. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1134/S008154382303015X.pdf

Reference10 articles.

1. A. V. Litavrin, “Endomorphisms of some groupoids of order $$k+k^{2}$$,” Bull. Irkutsk State Univ. Ser. Math. 32, 64–78 (2020). https://doi.org/10.26516/1997-7670.2020.32.64

2. A. V. Litavrin, “On endomorphisms of the additive monoid of subnets of a two-layer neural network,” Bull. Irkutsk State Univ. Ser. Math. 39, 111–126 (2022). https://doi.org/10.26516/1997-7670.2022.39.111

3. V. M. Levchuk, “Automorphisms of unipotent subgroups of Chevalley groups,” Algebra Logic 29 (3), 211–224 (1990). https://doi.org/10.1007/BF01979936

4. A. P. Il’inykh, “Classification of finite groupoids with $$2$$-transitive automorphism group,” Sb. Math. 82 (1), 175–197 (1995). https://doi.org/10.1070/SM1995v082n01ABEH003557

5. A. P. Il’inykh, “Groupoids of order $$q(q\pm 1)/2$$, $$q=2^{r}$$, with automorphism group isomorphic to $$SL(2,q)$$,” Sib. Math. J. 36 (6), 1159–1163 (1995). https://doi.org/10.1007/BF02106838

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