Revisiting Baer elements

Amartya Goswami; Themba Dube

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arXiv · 2405.11665

Revisiting Baer elements

Amartya Goswami·Themba Dube

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Abstract

The objective of this paper is to extend certain properties observed in $d$-ideals of rings and $d$-elements of frames to Baer elements in multiplicative lattices introduced in D. D. Anderson, C. Jayaram, and P. A. Phiri, Baer lattices, \textit{Acta Sci. Math. (Szeged)}, 59 (1994), 61--74. Additionally, we present results concerning these elements that have not been addressed in the study of $d$-ideals of rings. Furthermore, we introduce Baer closures and explore Baer maximal, prime, semiprime, and meet-irreducible elements.

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Amartya Goswami, Themba Dube. 2024-05-19. Revisiting Baer elements. https://arxiv.org/abs/2405.11665

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