REVISITING BAER ELEMENTS

Amartya Goswami; Themba Dube

doi:10.24330/ieja.1521082

REVISITING BAER ELEMENTS

Amartya Goswami
, Themba Dube

Mathematics and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

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. 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.

Original language	English
Pages (from-to)	201-219
Number of pages	19
Journal	International Electronic Journal of Algebra
Volume	37
Issue number	37
DOIs	https://doi.org/10.24330/ieja.1521082
Publication status	Published - 14 Jan 2025

Keywords

Baer closure
Baer element
Multiplicative lattice
annihilator element
compact element

ASJC Scopus subject areas

Algebra and Number Theory

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10.24330/ieja.1521082

Cite this

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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. 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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author = "Amartya Goswami and Themba Dube",

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AB - 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. 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.

KW - Baer closure

KW - Baer element

KW - Multiplicative lattice

KW - annihilator element

KW - compact element

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DO - 10.24330/ieja.1521082

M3 - Article

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JO - International Electronic Journal of Algebra

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ER -

REVISITING BAER ELEMENTS

Abstract

Keywords

ASJC Scopus subject areas

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