On $e^*$-Semisimple Modules and the Associated Socle

Bouziri , Ayoub

O‘zbekiston matematika jurnali · 2025-yil

Annotatsiya

Let $R$ be a ring, and let $M$ be a right $R$-module. Recently, Baannon and Khalid introduced and studied the concept of $e^*$-essential submodules, extending the notion of essential submodules. In this context, we consider $e^*$-semisimple submodules, and we define the $e^*$-socle of $M$ as the largest $e^*$-semisimple submodule of $M$. It turns out that several properties of the socle can be extended to the $e^*$-socle. It is shown that the $e^*$-socle of $M$ is exactly the intersection of all its $e^*$-essential submodules.

Maqola ma’lumotlari
MualliflarBouziri , Ayoub
JurnalO‘zbekiston matematika jurnali
NashriyotЎзбекистон Республикаси ФА Математика институти
ISSN2010-7269
Nashr sanasi2025-11-03
Jild69
Son4
Betlar46-52
TilIngliz
Ilmiy sohaFizika-matematika
DOI10.29229/uzmj.2025-4-6
Indeksga qo‘shilgan2026-08-26

DOI: 10.29229/uzmj.2025-4-6 · Maqolaning asl sahifasi

Kalit so‘zlar

$e^*$-essential submodules, $e^*$-semisimple modules, socle, $e^*$-socle

Ilmiy soha

Fizika-matematika

Iqtibos keltirish

APABouziri , Ayoub (2025). On $e^*$-Semisimple Modules and the Associated Socle. O‘zbekiston matematika jurnali, 69(4), 46-52. https://doi.org/10.29229/uzmj.2025-4-6
GOST (OAK)Bouziri , Ayoub On $e^*$-Semisimple Modules and the Associated Socle // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 4. – P. 46-52. – DOI: 10.29229/uzmj.2025-4-6.
MLABouziri , Ayoub. “On $e^*$-Semisimple Modules and the Associated Socle.” O‘zbekiston matematika jurnali, 69(4), 46-52, 2025. https://doi.org/10.29229/uzmj.2025-4-6
ChicagoBouziri , Ayoub. “On $e^*$-Semisimple Modules and the Associated Socle.” O‘zbekiston matematika jurnali, 69(4), 46-52 (2025). https://doi.org/10.29229/uzmj.2025-4-6
HarvardBouziri , Ayoub (2025) ‘On $e^*$-Semisimple Modules and the Associated Socle’, O‘zbekiston matematika jurnali, 69(4), 46-52. https://doi.org/10.29229/uzmj.2025-4-6
BibTeX
@article{bouziriayoub2025,
  title = {On $e^*$-Semisimple Modules and the Associated Socle},
  author = {Bouziri , Ayoub},
  journal = {O‘zbekiston matematika jurnali},
  year = {2025},
  volume = {69},
  number = {4},
  pages = {46-52},
  doi = {10.29229/uzmj.2025-4-6},
  url = {https://doi.org/10.29229/uzmj.2025-4-6}
}

Boshqa maqola uchun iqtibos tayyorlash

O‘zbekiston matematika jurnali jurnalidan boshqa maqolalar

O‘zbekiston matematika jurnali — barcha maqolalar · 2025-yil arxivi

Fizika-matematika sohasidagi boshqa maqolalar

Fizika-matematika sohasidagi OAK jurnallari