Czechoslovak Mathematical Journal

Czechoslovak Mathematical Journal, Vol. 72, No. 2, pp. 461-476, 2022

Extension of semiclean rings

Chahrazade Bakkari, Mohamed Es-Saidi, Najib Mahdou, Moutu Abdou Salam Moutui

Received December, 16, 2020. Published online September 20, 2021.

Abstract: This paper aims at the study of the notions of periodic, UU and semiclean properties in various context of commutative rings such as trivial ring extensions, amalgamations and pullbacks. The results obtained provide new original classes of rings subject to various ring theoretic properties.

Keywords: amalgamated algebra; nil-clean ring; periodic ring; pullback; UU ring; semiclean ring

Classification MSC: 13B02, 13B05, 13B10, 11T06, 11T30

DOI: 10.21136/CMJ.2021.0538-20

PDF available at: Springer Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Chahrazade Bakkari, Mohamed Es-Saidi, Department of Mathematics, Faculty of Science, University Moulay Ismail, Marjane 2, BP: 298 Meknes 50050, Meknes Morocco, e-mail: cbakkari@hotmail.com, saidi1972@gmail.com; Najib Mahdou, Modelling and Mathematical Structures Laboratory, Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Morocco, e-mail: mahdou@hotmail.com; Moutu Abdou Salam Moutui (corresponding author), Division of Science, Technology, and Mathematics, American University of Afghanistan, Near Palace of Darual Aman, Darulaman Rd, Kabul, Afghanistan, e-mail: mmoutui@auaf.edu.af

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