Relations Between SIP-Lifting and Coatomic Modules

Eren Doğan

doi:10.47000/tjmcs.1864643

Relations Between SIP-Lifting and Coatomic Modules

Abstract

This study investigates the relationship between SIP-lifting modules and coatomic modules in module theory. The SIP-lifting property extends the classical summand intersection property by allowing intersections of direct summands to contain a direct summand modulo a small submodule, thus preserving essential decomposition behavior. Coatomic modules are defined by the condition that every submodule is contained in a maximal submodule. We analyze how coatomicity interacts with SIP-lifting and identify conditions under which coatomic modules exhibit SIP-lifting behavior. Examples over matrix rings and semisimple Artinian rings are presented, together with new characterization and connection results.

Keywords

References

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Details

Primary Language

English

Subjects

Algebra and Number Theory

Journal Section

Research Article

Authors

Eren Doğan ^*
0000-0003-0027-2930
Türkiye

Publication Date

October 13, 2026

Submission Date

January 15, 2026

Acceptance Date

March 11, 2026

Published in Issue

Year 2026 Volume: 18 Number: 3

DOI

https://doi.org/10.47000/tjmcs.1864643

IZ

https://izlik.org/JA97AL97ZY

Cite

RIS / Bibtex

APA

Doğan, E. (2026). Relations Between SIP-Lifting and Coatomic Modules. Turkish Journal of Mathematics and Computer Science, 18(3), 700-707. https://doi.org/10.47000/tjmcs.1864643

AMA

1.Doğan E. Relations Between SIP-Lifting and Coatomic Modules. TJMCS. 2026;18(3):700-707. doi:10.47000/tjmcs.1864643

Chicago

Doğan, Eren. 2026. “Relations Between SIP-Lifting and Coatomic Modules”. Turkish Journal of Mathematics and Computer Science 18 (3): 700-707. https://doi.org/10.47000/tjmcs.1864643.

EndNote

Doğan E (October 1, 2026) Relations Between SIP-Lifting and Coatomic Modules. Turkish Journal of Mathematics and Computer Science 18 3 700–707.

IEEE

[1]E. Doğan, “Relations Between SIP-Lifting and Coatomic Modules”, TJMCS, vol. 18, no. 3, pp. 700–707, Oct. 2026, doi: 10.47000/tjmcs.1864643.

ISNAD

Doğan, Eren. “Relations Between SIP-Lifting and Coatomic Modules”. Turkish Journal of Mathematics and Computer Science 18/3 (October 1, 2026): 700-707. https://doi.org/10.47000/tjmcs.1864643.

JAMA

1.Doğan E. Relations Between SIP-Lifting and Coatomic Modules. TJMCS. 2026;18:700–707.

MLA

Doğan, Eren. “Relations Between SIP-Lifting and Coatomic Modules”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 3, Oct. 2026, pp. 700-7, doi:10.47000/tjmcs.1864643.

Vancouver

1.Eren Doğan. Relations Between SIP-Lifting and Coatomic Modules. TJMCS. 2026 Oct. 1;18(3):700-7. doi:10.47000/tjmcs.1864643