ALGEBRAIC PROPERTIES OF INDIGENOUS SEMIRINGS

作     者：Behzadipour, Hussein Koppelaar, Henk Nasehpour, Peyman 

作者机构：Department of Mathematics Sharif University of Technology Tehran Iran Faculty of Electrical Engineering Mathematics and Computer Science Delft University of Technology Delft Netherlands Education Department The New York Academy of Sciences New YorkNY United States 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Algebra 

摘      要：In this paper, we introduce Indigenous semirings and show that they are examples of information algebras. We also attribute a graph to them and discuss their diameters, girths, and clique numbers. On the other hand, we prove that the Zariski topology of any Indigenous semiring is the Sierpiński space. Next, we investigate their algebraic properties (including ideal theory). In the last section, we characterize units and idempotent elements of formal power series over Indigenous *** Codes 16Y60, 13A15, 01A07 © 2024, CC BY.