Weakly classical 1-absorbing primary submodules
In this paper, we introduce weakly classical 1-absorbing primary submodules of an unital module over a commutative ring with nonzero identity. Consider [Formula: see text] as a module over a ring [Formula: see text]. A proper submodule [Formula: see text] of [Formula: see text] is called weakly classical 1-absorbing primary submodule, if for each nonunit [Formula: see text] and [Formula: see text] with [Formula: see text], it follows that either [Formula: see text] or [Formula: see text] for some [Formula: see text]. Various properties and characterizations of weakly classical 1-absorbing primary submodules are explored.
Authors
- Bayram Alì Ersoy (ORCID: https://orcid.org/0000-0002-8307-9644)
- Serkan Onar (ORCID: https://orcid.org/0000-0003-3084-7694)
- Ece Yetki̇n Çeli̇kel (ORCID: https://orcid.org/0000-0001-6194-656X)
- Unsal Tekir
- Zeynep Yilmaz Ucar
Institutions
- Yıldız Technical University (TR)
- Hasan Kalyoncu University (TR)
- Marmara University (TR)
- Software (Spain) (ES)
Publication Details
- Journal
- Asian-European Journal of Mathematics
- Published
- 2026-01-30
- DOI
- https://doi.org/10.1142/s1793557126500142
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00