Cofinitely delta_ss-supplemented modules
Resumen
This paper explores the class of cofinitely δss-supplemented modules introduced as a natural
extension of δss-supplemented modules. The primary aim is to investigate structural and closure properties of
this broader class. It has been verified that the collection of cofinitely δss-supplemented modules retains the
same property under both arbitrary sums and the construction of factor modules. Furthermore, a module P is
characterized as amply cofinitely δss-supplemented precisely when each maximal submodule A of P such that
P/A is singular possesses ample δss-supplements within P . Left δss-perfect rings have been characterized via
cofinitely δss-supplemented modules and this characterization has been presented as equivalent conditions.
Descargas
Citas
2389–2405, (2001).
2. B¨uy¨uka¸sık, E. and Lomp, C., When δ-semiperfect rings are semiperfect, Turk. J. Math. 34, 317–324, (2010).
3. Kaynar, E., C¸ alı¸sıcı, H. and T¨urkmen, E., ss-Supplemented modules, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math.
Stat. 69 (1), 473–485, (2020).
4. Kasch, F., Modules and Rings, London Mathematical Society by Academic Press, Teubner, 1-372, (1982).
5. Ni¸sancı T¨urkmen, B. and Kılı¸c, B., On cofinitely ss-supplemented modules, Algebra Disc. Math. 34(1), 141–151, (2022).
6. Ni¸sancı T¨urkmen, B. and T¨urkmen, E., δss-Supplemented modules and rings, An. S¸t. Univ. Ovidius Constanta 28(3),
193–216, (2020).
7. Onal Kır, E. and Ni¸sancı T¨urkmen, B., ¨ An approach for δss-supplemented modules with ideals, Journal of Science and
Arts 24(1), 95–104, (2024).
8. Soydan, I. and T¨urkmen, E., ˙ Co-coatomically ps-supplemented modules, Erzincan University Journal of Science and
Technology 18(1), 140–488, (2025).
9. Wisbauer, R., Foundations of Module and Ring Theory, Gordon and Breach, (1991).
10. Zhou, Y., Generalizations of perfect, semiperfect, and semiregular rings, Algebra Colloq. 7(3), 305-318, (2000).
11. Zhou, D. X. and Zhang, X. R., Small-essential submodules and Morita duality, Southeast Asian Bull. Math. 35(6),
1051–1062, (2011).
12. Z¨oschinger, H. and Rosenberg, F. A., Koatomare moduln. Math. Z. 170, 221—232, (1980).
Derechos de autor 2025 Boletim da Sociedade Paranaense de Matemática
Esta obra está bajo licencia internacional Creative Commons Reconocimiento 4.0.
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
