Coálgebras não associativas e o radical localmente nilpotente
Bibliographic record
Abstract
\n Os resultados deste texto são motivados pela seguinte conjectura formulada por I. P. Shestakov: Uma variedade de álgebras admite radical localmente nilpotente se, e somente se, o Teorema Fundamental das Coálgebras é válido para as coálgebras desta variedade. Mostramos que o Teorema Fundamental das Coálgebras não é válido para coálgebras da variedade de álgebras alternativas à direita, uma variedade que não admite radical localmente nilpotente. Também mostramos que o Teorema Fundamental das Coálgebras é válido em uma classe que contém a variedades das álgebras alternativas e a variedade das álgebras de Jordan, generalizando o resultado de Anquela et al (1994), e contém duas variedades que possuem radical localmente nilpotente: a variedade das álgebras de tipo (1, 1) e a variedade das álgebras alternativas à direita Malcev-admissíveis.\n
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.002 | 0.003 |
| Insufficient payload (model declined to judge) | 0.005 | 0.004 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; both teacher heads agree on what is shown here.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".