正规near-ring的并
环与代数
2025-07-10 v1
摘要
「若干 semigroup 若干为 union of groups」是此类结构定理的等价表述，这一结果在 seminearrings 环境下已被 Mukherjee (Pal) 等人在 Semigroup Forum（2018）中获得。该工作 characterizes 一类 seminearrings（称为 generalized left completely regular seminearrings，缩写为 GLCR），其作为 near-ring 的 union。本文将此扩展至 characterize 各种类型（regular、completely regular、inverse、Clifford）的 regular near-ring 的 seminearrings。
引用
@article{arxiv.2507.06572,
title = {On Union of Regular Near-rings},
author = {Rajlaxmi Mukherjee and Tuhin Manna and Kamalika Chakraborty and Sujit Kumar Sardar},
journal= {arXiv preprint arXiv:2507.06572},
year = {2025}
}