{"product_id":"st-closed-submodules-and-semi-extending-modules-von-maysaa-riadh-abbas-muna-abbas-ahmed","title":"St-closed Submodules and Semi-extending Modules","description":"\u003cp\u003eThe main purpose of this work is to determine and study two new concepts (up to our knowledge) which are St-closed submodules and semi-extending modules. St-closed submodules is contained properly in the class of closed submodules, where a submodule N of M is called St-closed in M, if N has no proper semi-essential extension in M, i.e if there exists a submodule K of M such that N is a semi-essential submodule of K, then N = K. We investigate the main properties of this type of submodules, and discuss some results that are useful in our work. The class of semi-extending modules is a generalization to the notion of extending modules, where an R-module M is called semi-extending, if every submodule of M is a semi-essential in a direct summand of M. Various properties of semi-extending modules are obtained, and we study the relationships between this class of modules and other related concepts.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783659864070\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783659864070","offer_id":39434986455133,"sku":"9783659864070","price":39.9,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/bf71ed8d-7bae-489a-8c6a-595901440de8.jpg?v=1773380917","url":"https:\/\/shop.autorenwelt.de\/en\/products\/st-closed-submodules-and-semi-extending-modules-von-maysaa-riadh-abbas-muna-abbas-ahmed","provider":"Autorenwelt Shop","version":"1.0","type":"link"}