Isomorphisms in EQ-Algebras
In this paper we investigate some isomorphism theorems in EQ-algebras. After establishing some basic results we give the Fundamental Homomorphism Theorem and by using it we state and prove some other isomorphism theorems. We also state and prove a correspondence theorem. Next, using some results of...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2020-12-01
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| Series: | Discussiones Mathematicae - General Algebra and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgaa.1334 |
| _version_ | 1827842664920252416 |
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| author | Bakhshi M. Khavari M.R. Nazifi M. |
| author_facet | Bakhshi M. Khavari M.R. Nazifi M. |
| author_sort | Bakhshi M. |
| collection | DOAJ |
| description | In this paper we investigate some isomorphism theorems in EQ-algebras. After establishing some basic results we give the Fundamental Homomorphism Theorem and by using it we state and prove some other isomorphism theorems. We also state and prove a correspondence theorem. Next, using some results of the theory of universal algebra we characterize subdirectly irreducible EQ-algebras. |
| first_indexed | 2024-03-12T08:12:57Z |
| format | Article |
| id | doaj.art-81f1e1c5e7d947e3b0f7fb3b03897c58 |
| institution | Directory Open Access Journal |
| issn | 2084-0373 |
| language | English |
| last_indexed | 2024-03-12T08:12:57Z |
| publishDate | 2020-12-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae - General Algebra and Applications |
| spelling | doaj.art-81f1e1c5e7d947e3b0f7fb3b03897c582023-09-02T19:04:35ZengUniversity of Zielona GóraDiscussiones Mathematicae - General Algebra and Applications2084-03732020-12-0140226727410.7151/dmgaa.1334dmgaa.1334Isomorphisms in EQ-AlgebrasBakhshi M.0Khavari M.R.1Nazifi M.2University of Bojnord, Department of Mathematics, Bojnord, IranUniversity of Bojnord, Department of Mathematics, Bojnord, IranUniversity of Bojnord, Department of Mathematics, Bojnord, IranIn this paper we investigate some isomorphism theorems in EQ-algebras. After establishing some basic results we give the Fundamental Homomorphism Theorem and by using it we state and prove some other isomorphism theorems. We also state and prove a correspondence theorem. Next, using some results of the theory of universal algebra we characterize subdirectly irreducible EQ-algebras.https://doi.org/10.7151/dmgaa.1334many-valued logicsfuzzy type theoryeq-algebrahomomorphism theorems03b1508a72 |
| spellingShingle | Bakhshi M. Khavari M.R. Nazifi M. Isomorphisms in EQ-Algebras Discussiones Mathematicae - General Algebra and Applications many-valued logics fuzzy type theory eq-algebra homomorphism theorems 03b15 08a72 |
| title | Isomorphisms in EQ-Algebras |
| title_full | Isomorphisms in EQ-Algebras |
| title_fullStr | Isomorphisms in EQ-Algebras |
| title_full_unstemmed | Isomorphisms in EQ-Algebras |
| title_short | Isomorphisms in EQ-Algebras |
| title_sort | isomorphisms in eq algebras |
| topic | many-valued logics fuzzy type theory eq-algebra homomorphism theorems 03b15 08a72 |
| url | https://doi.org/10.7151/dmgaa.1334 |
| work_keys_str_mv | AT bakhshim isomorphismsineqalgebras AT khavarimr isomorphismsineqalgebras AT nazifim isomorphismsineqalgebras |