T-Stable-extending Modules and Strongly T- stable Extending Modules

Autor:	Farhan Dakhil Shyaa, Inaam Mohammed Ali Hadi
Rok vydání:	2020
Předmět:	Pure mathematics Property (philosophy) General Computer Science Direct sum General Chemistry General Biochemistry Genetics and Molecular Biology Mathematics
Zdroj:	Iraqi Journal of Science. :401-408
ISSN:	2312-1637 0067-2904
DOI:	10.24996/ijs.2020.61.2.18
Popis:	In this paper we introduce the notions of t-stable extending and strongly t-stable extending modules. We investigate properties and characterizations of each of these concepts. It is shown that a direct sum of t-stable extending modules is t-stable extending while with certain conditions a direct sum of strongly t-stable extending is strongly t-stable extending. Also, it is proved that under certain condition, a stable submodule of t-stable extending (strongly t-stable extending) inherits the property.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::110ec52d89d2710a38edbf15ac7ac755 https://doi.org/10.24996/ijs.2020.61.2.18 Zobrazit plný text záznamu