On some groups whose subnormal subgroups are contranormal-free

Autor: Leonid Kurdachenko, Patrizia Longobardi, Mercede Maj

Publikováno v: International Journal of Group Theory, Vol 14, Iss 2, Pp 99-115 (2024)

If $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups. Obviously, a nilp

Externí odkaz: https://doaj.org/article/80286b689416441882734ea20f8a9800

Leibniz algebras: a brief review of current results

Autor: V.A. Chupordia, A.A. Pypka, N.N. Semko, V.S. Yashchuk

Publikováno v: Karpatsʹkì Matematičnì Publìkacìï, Vol 11, Iss 2, Pp 250-257 (2019)

Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity $[[a,b],c]=[a,[b,c]]-[b,[a, c]]$ for all $a,b,c\in L$. This paper is a brie

Externí odkaz: https://doaj.org/article/bf3dcfe802274298a16531e39859dc9d

The rank of the factor-group modulo the hypercenter and the rank of the some hypocenter of a group

Autor: Kurdachenko Leonid, Otal Javier

Publikováno v: Open Mathematics, Vol 11, Iss 10, Pp 1732-1741 (2013)

Externí odkaz: https://doaj.org/article/70192deb8c2147b6b35f73fa91f3eee8

Алгебри Лейбніца: короткий огляд сучасних результатів

Autor: Chupordia, V. A., Pypka, A. A., Semko, N. N., Yashchuk, V. S.

Publikováno v: Carpathian Mathematical Publications; Vol 11, No 2 (2019); 250-257
Карпатские математические публикации; Vol 11, No 2 (2019); 250-257
Карпатські математичні публікації; Vol 11, No 2 (2019); 250-257

Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. Then $L$ is called a \textit{left Leibniz algebra} if it satisfies the left Leibniz identity $[[a,b],c]=[a,[b,c]]-[b,[a, c]]$for all $a,b,c\in L$. This paper i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=vasylstefany::ff5e54419cc858a8f2fbfb56b3632786
http://journals.pu.if.ua/index.php/cmp/article/view/4078

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