In this paper, we first classify all associative algebra structures on a two-dimensional vector space over an arbitrary base field equipped with a non-degenerate bilinear form. We then determine which of these are Frobenius algebras. We provide lists of canonical representatives of the isomorphism classes of these algebras over an arbitrary base field.
| Mualliflar | Asrorov , D.U., Bekbaev , U.D., Rakhimov , I.S. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 22-34 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2025-4-3 |
DOI: 10.29229/uzmj.2025-4-3 · Maqolaning asl sahifasi
Frobenius algebra, Non-degenerate bilinear form, Classification, Automorphism
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