Yazar "Kir, Emine Onal" için listeleme
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AN APPROACH FOR δ22 - SUPPLEMENTED MODULES WITH IDEALS
Kir, Emine Onal; Turkmen, Burcu Nisanci (Editura Bibliotheca-Bibliotheca Publ House, 2024)The aim of this paper is to present supplemented modules and investigate their main algebraic properties. Let be an ideal of a ring and be an module. We call a module is supplemented, provided for each submodule of , there ... -
JSS⊕- Supplemented modules
Kir, Emine Onal; Turkmen, Burcu Nisanci (Maejo Univ, 2024)We describe J(SS)(circle plus)- supplemented modules as a proper generalisation of circle plus(ss)-supplemented modules. We show that each direct summand of a J(SS)(circle plus)-supplemented module satisfying condition ... -
Semisimple modules that are small cyclic in their injective envelopes
Kir, Emine Onal; Tuerkmen, Erguel (World Scientific Publ Co Pte Ltd, 2024)This paper presents the fundamental characteristics of s-cosingular modules, which constitute semisimple and small submodules within an injective module. We establish that over a commutative Kasch ring S, each (semi) simple ... -
ℐ⨁ss−Supplemented modules
Kir, Emine Onal; Turkmen, Burcu Nisanci (Maejo University, 2024)We describe ℐss⨁ − supplemented modules as a proper generalisation of ⨁ss −supplemented modules. We show that each direct summand of a ℐss⨁ −supplemented module satisfying condition (D3) is also ℐss⨁ −supplemented. Then ...