An online session of the Algebra and Logic Seminar will be held on **March 18, 2022** (Friday) **at 4:00 pm (UTC+2). **

A talk on:

**Absorbing ideal structures of commutative rings**

will be delivered by **Ece Yetkin Celikel (Hasan Kalyoncu University, Turkey).**

**Abstract. **Let R be a commutative ring with nonzero identity. As generalizations of prime ideals, the absorbing ideals were first defined and studied by A. Badawi in 2007. A proper ideal I of R is said to be 2-absorbing if whenever a, b, c ∈ R with abc ∈ I, then either ab ∈ I or ac ∈ I or bc ∈ I. After this date, many researches have been done to introduce various extensions of this concept.

In this talk, we present some absorbing ideals of this class of ideals in general aspect with a number of examples, and also we give many characterizations for some particular rings such as quasi-local rings, Dedekind domains, fields in terms of absorbing ideals.

The seminar will be held via Zoom and anyone can join at:

https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09

Topic: Онлайн семинар на секция “Алгебра и логика”

Time: Mar 18, 2022 04:00 PM Sofia

Meeting ID: 851 3737 5021

Passcode: 035647

Algebra and Logic Department, IMI-BAS

http://www.math.bas.bg/algebra/seminarAiL/

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