Bibliographic record
Abstract
Abstract In their study of the class of standardly stratified algebras with n irreducible representations, Ágoston et al. (Citationto appear) have introduced two operators Σ and Ω acting on the class and satisfying the following relations: In this little note we are presenting a complete description of indecomposable linear representations of the respective semigroups by constructing the graph semigroups T n (see Dlab and Pospíchal, Citation2002) such that the semigroup algebras KT n and are isomorphic. The number of indecomposable representations of is 2(2n − 1) for n > 1 (of which 4 are irreducible) and all indecomposable representations of are uniserial. Key Words: Finite representation typeGraph semigroupsIndecomposable representationsLinear representations of semigroups2000 Mathematics Subject Classification: Primary 20M30, 16G20Secondary 16G60, 16G70 Notes Communicated by I. P. Shestakov.
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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 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| 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 | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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; a candidate call from one teacher head, not a consensus.
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".