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Open AccessArticle

The Homomorphism Theorems of M-Hazy Rings and Their Induced Fuzzifying Convexities

1
Beijing Key Laboratory on MCAACI, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 102488, China
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School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510000, China
3
Department of Mathematics and Big Data, Foshan University, Foshan 528000, China
4
School of Mathematics and Statistics, Hanshan Normal University, Chaozhou 521041, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 411; https://doi.org/10.3390/math8030411
Received: 11 February 2020 / Revised: 6 March 2020 / Accepted: 8 March 2020 / Published: 13 March 2020
(This article belongs to the Special Issue Fuzziness and Mathematical Logic )
In traditional ring theory, homomorphisms play a vital role in studying the relation between two algebraic structures. Homomorphism is essential for group theory and ring theory, just as continuous functions are important for topology and rigid movements in geometry. In this article, we propose fundamental theorems of homomorphisms of M-hazy rings. We also discuss the relation between M-hazy rings and M-hazy ideals. Some important results of M-hazy ring homomorphisms are studied. In recent years, convexity theory has become a helpful mathematical tool for studying extremum problems. Finally, M-fuzzifying convex spaces are induced by M-hazy rings. View Full-Text
Keywords: M-hazy group; M-hazy ring; M-hazy ideal; M-hazy ring homomorphism; M-fuzzifying convex space M-hazy group; M-hazy ring; M-hazy ideal; M-hazy ring homomorphism; M-fuzzifying convex space
MDPI and ACS Style

Mehmood, F.; Shi, F.-G.; Hayat, K.; Yang, X.-P. The Homomorphism Theorems of M-Hazy Rings and Their Induced Fuzzifying Convexities. Mathematics 2020, 8, 411.

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