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Communications in Algebra Volume 51, 2023 - Issue 11
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Research Article

Commutative rings whose proper ideals are pure-semisimple

S. Baghdaria Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, IranView further author information
,
M. Behboodia Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran;c School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, IranView further author information
&
A. Moradzadeh-Dehkordib Department of Science, Shahreza Campus, University of Isfahan, Iran;c School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, IranCorrespondence[email protected]
View further author information
Pages 4821-4829 | Received 15 Dec 2022, Accepted 19 May 2023, Published online: 06 Jun 2023

References

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  • Behboodi, M., Ghorbani, A., Moradzadeh-Dehkordi, A. (2011). Commutative Noetherian local rings whose ideals are direct sums of cyclic modules. J. Algebra 345:257–265. DOI: 10.1016/j.jalgebra.2011.08.017.
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  • Behboodi, M., Heidari, S. (2017). Commutative rings whose proper ideals are serial. Algebras Represent. Theory 20:1531–1544. DOI: 10.1007/s10468-017-9699-7.
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  • Wisbauer, R. (1991). Fundations of Module and Ring Theory. Reading: Gordon and Branch.

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