The next meeting of the Algebra and Logic Seminar will be held in hybrod format (in Room 578 of IMI – BAS and online via Zoom) on **December 1, 2023** (Friday) **at 1:00 pm **(UTC+2).

A talk on:

_{Characterization of Ideals of Q-algebras Related to its G-part}

_{Characterization of Ideals of Q-algebras Related to its G-part}

will be delivered by

**Jörg Koppitz (IMI – BAS, Bulgaria).**

**Abstract. **In this presentation, we study the \(G\)-part of \(Q\)-algebras \(X\), i.e. the set \(G(X)=\{x\in X:0x=x\}\). We show that \(G(X)\) is an abelian group, whenever \(G(X)\) is an ideal and characterize all \(Q\)-algebras \(X\) such that \(G(X)\) is an ideal of \(X\). Moreover, we show that, up to isomorphism, there is only one \(Q\)-algebra \(X\) with \(G(X)=X\), which is only possible if \(|X|=2^{k}\) (\(k\in \mathbb{N}\)).

Link to the Zoom room:

https://us02web.zoom.us/j/

Algebra and Logic Department, IMI – BAS

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

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