Revisiting 1-absorbing prime elements in multiplicative lattices
Ashok V. Bingi
Department of Mathematics, St.~Xavier’s College
(An empowered autonomous institute affiliated to the University of Mumbai)
5, Mahapalika marg, Mumbai, Maharashtra-400001, India.
Pages 71-79 | Received 04 February 2025, Accepted 12 July 2025, Published 19 July 2026
Abstract
In this paper, we revisit the concept of 1-absorbing prime elements in C-lattices and obtain its characterizations. The main aim of this paper is to investigate some more properties of 1-absorbing prime elements in multiplicative lattices.
Keywords: 1-absorbing prime element, p-1-absorbing prime element, semiprimary element.
MSC numbers: 06F99, 06B23.
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