In this paper, we classify all two-dimensional bicommutative algebras over an arbitrary field. Foundational ideas in nonassociative algebra go back to early work (e.g., Smiley), whereas the bicommutative setting was developed later by Dzhumadil'daev and Drensky within nonassociative algebra and operad theory. Such algebras satisfy the left- and right-commutativity identities and form a significant class among nonassociative structures. Studying their structure and classification provides fundamental insight into the nature of low-dimensional nonassociative systems.
| Mualliflar | D. Asrorov |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashriyot | Самарқанд давлат университети |
| ISSN | 2091-5446, 2181-1296 |
| Nashr sanasi | 2025-06-01 |
| Jild | 5 |
| Son | 2 |
| Betlar | 81-86 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3645 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3645 · Maqolaning asl sahifasi
| APA | D. Asrorov (2025). CLASSIFICATION OF TWO-DIMENSIONAL BICOMMUTATIVE ALGEBRAS OVER AN ARBITRARY FIELD. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(2), 81-86. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3645 |
|---|---|
| GOST (OAK) | D. Asrorov CLASSIFICATION OF TWO-DIMENSIONAL BICOMMUTATIVE ALGEBRAS OVER AN ARBITRARY FIELD // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2025. – T. 5, № 2. – P. 81-86. – DOI: 10.59251/2181-3973.2025.v1.138.1.3645. |
| MLA | D. Asrorov. “CLASSIFICATION OF TWO-DIMENSIONAL BICOMMUTATIVE ALGEBRAS OVER AN ARBITRARY FIELD.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(2), 81-86, 2025. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3645 |
| Chicago | D. Asrorov. “CLASSIFICATION OF TWO-DIMENSIONAL BICOMMUTATIVE ALGEBRAS OVER AN ARBITRARY FIELD.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(2), 81-86 (2025). https://doi.org/10.59251/2181-3973.2025.v1.138.1.3645 |
| Harvard | D. Asrorov (2025) ‘CLASSIFICATION OF TWO-DIMENSIONAL BICOMMUTATIVE ALGEBRAS OVER AN ARBITRARY FIELD’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 5(2), 81-86. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3645 |
| BibTeX | @article{dasrorov2025,
title = {CLASSIFICATION OF TWO-DIMENSIONAL BICOMMUTATIVE ALGEBRAS OVER AN ARBITRARY FIELD},
author = {D. Asrorov},
journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
year = {2025},
volume = {5},
number = {2},
pages = {81-86},
doi = {10.59251/2181-3973.2025.v1.138.1.3645},
url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.3645}
} |
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