On 1-absorbing Prime and 1-absorbing Primary Ideals of Amalgamations

Authors

  • Abuzer Gündüz Department of Mathematics, Sakarya University, Turkey

DOI:

https://doi.org/10.7546/CRABS.2023.09.01

Keywords:

1-absorbing prime ideal, 1-absorbing primary ideal, amalgamated algebra along an ideal

Abstract

In this note, we define the 1-absorbing prime ideals and 1-absorbing primary ideals in the amalgamations of A with B along J with respect to f denoted $$A \bowtie ^f J$$ and give some results.

Author Biography

Abuzer Gündüz, Department of Mathematics, Sakarya University, Turkey

Mailing Address:
Department of Mathematics,
Sakarya University
54050 Sakarya, Turkey

E-mail: abuzergunduz@sakarya.edu.tr

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Published

01-10-2023

How to Cite

[1]
A. Gündüz, “On 1-absorbing Prime and 1-absorbing Primary Ideals of Amalgamations”, C. R. Acad. Bulg. Sci., vol. 76, no. 9, pp. 1317–1325, Oct. 2023.

Issue

Section

Mathematics