Ternary Γ-semihyperrings: ideals, regular ideals and fundamental semirings

被引：0
|
作者：
Davvaz, B. [1 ]
Dehkordi, S. O. [1 ]
机构：
[1] Yazd Univ, Dept Math, Yazd, Iran
来源：
AFRIKA MATEMATIKA | 2022年 / 33卷 / 02期
关键词：
Ternary Gamma-semihyperring; Regular ideal; Simple ternary Gamma-semihyperring; Right(left) fundamental semiring;
D O I：
10.1007/s13370-022-00978-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of ternary Gamma-semihyperrings is a generalization of semirings. In a ternary Gamma-semihyperring, addition is a hyperoperation and multiplication is a ternary hyperoperation. Our main purpose of this paper is to introduce regular and simple ternary Gamma-semihyperrings and study the notions of right (left) fundamental semirings, and we show that there is a covariant functor between the category of relocation ternary Gamma-semihyperrings and semirings.
引用
下载
收藏
页数：27
相关论文
共 50 条
  • [21] Regular and intra-regular semirings in terms of bipolar fuzzy ideals
    Muhammad Shabir
    Saba Liaquat
    Shahida Bashir
    Computational and Applied Mathematics, 2019, 38
  • [22] Regular and intra-regular semirings in terms of bipolar fuzzy ideals
    Shabir, Muhammad
    Liaquat, Saba
    Bashir, Shahida
    COMPUTATIONAL & APPLIED MATHEMATICS, 2019, 38 (04):
  • [23] Fuzzy Soft Tri-quasi Ideals of Regular Semirings
    Rao, Marapureddy Murali Krishna
    Saeid, Arsham Borumand
    Kona, Rajendra Kumar
    NEW MATHEMATICS AND NATURAL COMPUTATION, 2024,
  • [24] Prime Ideals in Semirings
    Gupta, Vishnu
    Chaudhari, J. N.
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2011, 34 (02) : 417 - 421
  • [25] Ideals in Quotient Semirings
    Atani, Shahabaddin Ebrahimi
    Garfami, Ameneh Gholamalipour
    CHIANG MAI JOURNAL OF SCIENCE, 2013, 40 (01): : 77 - 82
  • [26] Fuzzy ideals of semirings
    H. Hedayati
    Neural Computing and Applications, 2011, 20 : 1219 - 1228
  • [27] On Partitioning Ideals of Semirings
    Gupta, Vishnu
    Chaudhari, Jayprakash Ninu
    KYUNGPOOK MATHEMATICAL JOURNAL, 2006, 46 (02): : 181 - 184
  • [28] Fuzzy ideals of semirings
    Hedayati, H.
    NEURAL COMPUTING & APPLICATIONS, 2011, 20 (08): : 1219 - 1228
  • [29] Fuzzy Ideals and Fuzzy Interior Ideals in Ordered Semirings
    Mandal, Debabrata
    FUZZY INFORMATION AND ENGINEERING, 2014, 6 (01) : 101 - 114
  • [30] Ternary Γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma $$\end{document}-semihyperrings: ideals, regular ideals and fundamental semirings
    B. Davvaz
    S. O. Dehkordi
    Afrika Matematika, 2022, 33 (2)
12345