一项关于左侧几乎超模块结构的新研究
Nabilah Abughazalah1, Shehzadi Salma Kanwal2, Mudsir Mehdi2
1Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia.
本研究介绍了左侧几乎超模块 (LA-hypermodule),一个新的代数结构延伸超模块. 它探讨了它的特性,超模块的变化,以及与同型和关系的连接.
科学领域:
- 抽象代数 抽象代数
- 超模块理论 超模块理论
背景情况:
- 介绍了左侧几乎超模块的新概念,作为超模块的延伸.
- 定义左侧几乎超模块 (LA-hypermodule) 作为一个作用于左侧几乎超环的结构.
研究的目的:
- 定义和提供新的LA-hypermodule结构的例子.
- 探索超模块和LA-超模块之间的关系.
- 为了研究从左侧几乎多重组过渡到LA-超模块.
主要方法:
- 左侧几乎超模块的定义.
- 检查结构变化的情况.
- 左近多元组概念的应用.
- 对同态度和正规关系的分析.
主要成果:
- 提供了LA-超模块的正式定义和示例.
- 突出了超模块和LA-超模块之间的关键差异.
- 建立了一个从左边几乎多重组过渡到LA-超模块的框架.
- 观察与同态度和正则关系相关的结果.
结论:
- LA-超模块是抽象代数中的一个重要的新结构.
- 对LA-超模块的进一步研究是有必要的.
- 这项研究为探索先进的特性和应用奠定了基础.
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