区间半环
Interval Semirings
摘要：
本书共有七章。在第一章中，我们给出了使本书成为一本独立的书所需的基础知识。第二章介绍了区间半群和区间半域的概念，并对其进行了代数分析。第三章介绍了一些特殊类型的区间半环，如矩阵区间半环和区间多项式半环。第四章首次引入了群区间半环、半群区间半环、圈区间半环和广群区间半环的概念，并研究了它们的结构。第五章介绍了区间仿射半环。第六章给出了这些结构的应用。最后一章为读者提出了大约120个问题。
英文摘要：
This book has seven chapters. In chapter one we give the basics needed to make this book a self contained one. Chapter two introduces the notion of interval semigroups and interval semifields and are algebraically analysed. Chapter three introduces special types of interval semirings like matrix interval semirings and interval polynomial semirings. Chapter four for the first time introduces the notion of group interval semirings, semigroup interval semirings, loop interval semirings and groupoid interval semirings and these structures are studied. Interval neutrosophic semirings are introduced in chapter five. Applications of these structures are given in chapter six. The final chapter suggests around 120 problems for the reader.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
