DM-GAA

Article in press

Authors:

J. Nehete

Jaya Yashwant Nehete

Department of Engineering Sciences and Humanities
JSPM's Rajarshi Shahu College of Engineering
Tathwade, Pune, India

email: jaya.nehete88@gmail.com

0000-0001-7362-2343

A. Bhos

Amol Bhos

Department First Year Engineering
Dr. D.Y. Patil Unitech Society's Dr. D.Y. Patil Institute of Technology
$($formerly Dr. D.Y. Patil Institute of Engineering and Technology$)$
Main Campus, Sant Tukaram Nagar, Pimpri, Pune, India

email: amolbhos32@gmail.com

0009-0001-7721-3923

Title:

ON WEAKLY SEMI δ-PRIMARY IDEALS IN LATTICES

PDF

Source:

Discussiones Mathematicae - General Algebra and Applications

Received: 2024-07-29 , Revised: 2024-12-15 , Accepted: 2024-12-15 , Available online: 2025-08-14 , https://doi.org/10.7151/dmgaa.1487

Abstract:

In this paper, we have introduced semi-primary ideals and weakly semi-primary ideals in a lattice. We have also proved several results about these ideals and established the relationships of semi-primary ideals with other types of ideals. Furthermore, we have introduced semi-$\delta$-primary ideals, weakly semi-$\delta$-primary ideals, and dual zero in a lattice. We have obtained many properties and characterizations of semi-$\delta$-primary ideals. Additionally, we have defined strongly weakly semi-$\delta$-primary ideals in a lattice.

Keywords:

expansion function, weakly $\delta$-primary ideal, semi $\delta$-primary ideal, weakly semi $\delta$-primary ideal,, dual zero, semi primary ideal, weakly semi primary ideal, strongly weakly semi $\delta$-primary ideal

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