Recent zbMATH articles in MSC 06B10 https://www.zbmath.org/atom/cc/06B10 2022-05-16T20:40:13.078697Z Werkzeug Generalized pseudo-effect algebras and their Riesz congruences and Riesz ideals https://www.zbmath.org/1483.03037 2022-05-16T20:40:13.078697Z "Fan, Xue Shuang" https://www.zbmath.org/authors/?q=ai:fan.xueshuang "Zhang, Xiao Hong" https://www.zbmath.org/authors/?q=ai:zhang.xiaohong (no abstract) $$\delta$$-ideals in pseudo-complemented distributive join-semilattices https://www.zbmath.org/1483.06007 2022-05-16T20:40:13.078697Z "Nimbhorkar, Shriram K." https://www.zbmath.org/authors/?q=ai:nimbhorkar.shriram-khanderao "Nehete, Jaya Y." https://www.zbmath.org/authors/?q=ai:nehete.jaya-y In this paper, the authors studied a $$\delta$$-ideal concept in a pseudo-complemented distributive join semilattice with 0. Some properties of these ideals are obtained. A characterization for an ideal to be a $$\delta$$-ideal is proved in a distributive join-semilattice. Further, from Theorem 3.1(2), it is clear that if $$I$$ is a $$\delta$$-ideal, then for any $$x \in I$$, $$x^{**} \in I$$. Note that $$\delta$$-ideals are also studied under the nomenclature Baer ideals. An ideal $$I$$ in a pseudocomplemented poset is said to be a Baer ideal, if for any $$x \in I$$, $$x^{**} \in I$$, see Remark 2.1 in [\textit{V. Joshi} and \textit{N. Mundlik}, Asian-Eur. J. Math. 9, No. 3, Article ID 1650055, 16 p. (2016; Zbl 1368.06001)]. Reviewer: Vinayak Joshi (Pune)