IJAM: Volume 37, No. 3 (2024)

DOI: 10.12732/ijam.v37i3.5

ON \beta-ABSORBING PRIMARY SUBMODULES

Thawatchai Khumprapussorn

Department of Mathematics

School of Science

King Mongkut’s Institute of Technology Ladkrabang

Bangkok 10520, THAILAND

Abstract. In this paper, we define the notion of \beta-absorbing primary submodules. We can see that \beta-absorbing primary submodules are a generalization of \beta-absorbing submodules and 2-absorbing submodules. Several properties concerning \beta-absorbing primary submodules and examples are given.

Download paper from here

How to cite this paper?
DOI: 10.12732/ijam.v37i3.5
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 3

References

[1] A. Badawi, On 2-absorbing ideals of commutative rings, Bull. Austral. Math. Soc., 75 (2007), 417–429.

[2] A. Badawi, U. Tekir, E.Yetkin, On 2-absorbing primary ideals in commutative rings, Bull. Korean Math. Soc., 51 (2014), 1163–1173.

[3] A. Darani, F. Soheilnia, 2-absorbing and weakly 2-absorbing submodules, Thai Journal of Mathematics, 9 (2011), 577-584.

[4] T. Khumprapussorn, On \beta-absorbing submodules, International Journal of Mathematics and Computer Science, 15 (2020), 809-720.

[5] H. Mostafanasab, U. Tekir, E. Celikel, E. Ugurlu, G. Ulucak, A. Darani, Generalizations of 2-absorbing and 2-absorbing primary submodules, Hacet. J. Math. Stat., 48 (2019), 1001-1016.

[6] Sh. Payrovi, S. Babaei, On the 2-absorbing submodules, Iranian Journal of Mathematical Sciences and Informatics, 10 (2015), 131-137.

[7] Sh. Payrovi, S. Babaei, On 2-absorbing submodules, Algebra Colloquium (Spec. 1), 19 (2012), 913-920

IJAM: Volume 37, No. 3 (2024)

· IJAM