On lifting acts over monoids

Subject Areas : Ring and Module Theory

B. Tahmasebi Ashtiani ¹ , H. Rasouli ² , A. Tehranian ³ , H. Barzegar ⁴

1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
4 - Department of Mathematics, Tafresh University, 39518-79611, Tafresh, Iran

Received: 2022-11-23 Accepted : 2022-12-27 Published : 2022-12-01

Keywords:

References:

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[3] D. Keskin, On lifting modules, Comm. Algebra. 28 (2000), 3427-3440.

[4] M. Kilp, U. Knauer, A. Mikhalev, Monoids, Acts and Categories, de Gruyter, Berlin, 2000.

[5] R. Khosravi, M. Roueentan, Co-uniform and hollow S-acts over monoids, Commun. Korean Math. Soc. 37 (2) (2022), 347-358.

[6] S. H. Mohamed, B. J. Miller, Continuous and Discrete Modules, London Math. Soc. LNS 147 Cambridge Univ. Press, Cambridge, 1990.

[7] K. Oshiro, Lifting modules, extending modules and their applications to generalized uniserial rings, Hokkaido Math. J. 13 (3) (1984), 339-346.

[8] B. Tahmasebi Ashtiani, H. Rasouli, A. Tehranian, H. Barzegar, On the notion of supplement in acts over monoids, J. Algebra Appl. (2023), In press.