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Mathematics
Article . 2024 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Mathematics
Article . 2024
Data sources: DOAJ
Multidisciplinary Digital Publishing Institute
Other literature type . 2024
License: CC BY
Data sources: Multidisciplinary Digital Publishing Institute
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Ideals and Homomorphism Theorems of Fuzzy Associative Algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 09 Apr 2024 English Publisher:MDPI AGJournal:Mathematics, volume 12, page 1,125 (eissn: 2227-7390, Copyright policy )
Authors: Xiaoman Yang; Xin Zhou;

doi: 10.3390/math12081125

Ideals and Homomorphism Theorems of Fuzzy Associative Algebras

Abstract

Based on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals. Moreover, we prove that the kernels of fuzzy homomorphisms are fuzzy ideals. Using fuzzy ideals, the quotient structures of fuzzy associative algebras are constructed, their corresponding properties are discussed, and their homomorphism theorems are proven.

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Keywords

fuzzy ideals, fuzzy homomorphisms, QA1-939, fuzzy associative algebras, homomorphism theorems, Mathematics, quotient algebras

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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