@article{Bayramyan_2022, place={Yerevan, Armenia}, title={ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS}, volume={56}, url={https://journals.ysu.am/index.php/proceedings-phys-math/article/view/vol56_no2_2022_pp049-057}, DOI={10.46991/PYSU:A/2022.56.2.049}, abstractNote={<pre>In this article, we explore the automorphisms of endomorphism semigroups and automorphism groups <br />of the finite elementary Abelian groups. In particular, we prove that <br />$\mathrm{Aut}(\mathrm{End}(\Z_p\oplus\Z_p\oplus\cdots\oplus\Z_p))$ can be canonically embedded into <br />$\mathrm{Aut}(\mathrm{Aut}(\Z_p\oplus\Z_p\oplus\cdots\oplus\Z_p))$ using an elementary approach based <br />on matrix operations. We also show that all automorphisms of $\mathrm{End}(\Z_p\oplus\Z_p\oplus\cdots\oplus\Z_p)$ <br />are inner.<br /><br /></pre>}, number={2 (258)}, journal={Proceedings of the YSU A: Physical and Mathematical Sciences}, author={Bayramyan, Arman A.}, year={2022}, month={Jul.}, pages={49–57} }