ABELIAN GROUPS WITH LEFT COMORPHIC ENDOMORPHISM RINGS

Autor:	Grigore Călugăreanu, Andrey R. Chekhlov
Rok vydání:	2021
Předmět:	Matematik Pure mathematics Algebra and Number Theory Endomorphism кольца эндоморфизмов абелевы группы Left comorphic ring Abelian group endomorphism ring Abelian group Endomorphism ring Mathematics
Zdroj:	Volume: 30, Issue: 30 217-230 International Electronic Journal of Algebra International electronic journal of algebra. 2021. Vol. 30. P. 217-230
ISSN:	1306-6048
DOI:	10.24330/ieja.969907
Popis:	A ring $R$ is called left comorphic if for every $a\in R$ there exists $b\in R$ such that the left and right annihilators satisfy $Ra=l(b)$ and $r(a)=bR$. In this paper, the Abelian groups with left comorphic endomorphism rings are completely determined.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c27788d425ef3a8aed905b69a389640 https://doi.org/10.24330/ieja.969907 Zobrazit plný text záznamu