On z-ideals and z-closure operations of semirings, I

A Goswami - Quaestiones Mathematicae, 2024 - Taylor & Francis
The aim of this series of papers is to study z-ideals of semirings. In this article, we introduce
some distinguished classes of z-ideals of semirings, which include z-prime, z-semiprime, z …

On z-elements of multiplicative lattices

A Goswami, T Dube - Algebra universalis, 2025 - Springer
The aim of this paper is to investigate further properties of z-elements in multiplicative
lattices. We utilize z-closure operators to extend several properties of z-ideals to z-elements …

[PDF][PDF] About unital and non-unital duo rings

M Abel, EL Elmanovitš - Proceedings of the Estonian Academy of Sciences, 2024 - kirj.ee
Several results about one-sided duo rings and duo rings are generalized from the case of
unital rings to the case of arbitrary associative rings in this paper. For example, the …

[PDF][PDF] On 𝑧-ideals and 𝑧-closure operations of semirings

A Goswami - II (in preparation) - researchgate.net
The aim of this series of papers is to study 𝑧-ideals of semirings. In this article, we introduce
some distinguished classes of 𝑧-ideals of semirings, which include 𝑧-prime, 𝑧-semiprime, 𝑧 …

of the estonian academy of sciences

M Abel - kirj.ee
Several properties of unital left (right) TQ-algebras are described. The conditions when a
unital semitopological algebra is a left (right) TQ-algebra are given. It is shown that the …