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math.RA2021
Abelian invariants and a reduction theorem for the modular isomorphism problem
Leo Margolis, Taro Sakurai, Mima Stanojkovski
We show that elementary abelian direct factors can be disregarded in the study of the modular isomorphism problem. Moreover, we obtain four new series of abelian invariants of the…
cs.AI2021
On formal concepts of random formal contexts
Taro Sakurai
In formal concept analysis, it is well-known that the number of formal concepts can be exponential in the worst case. To analyze the average case, we introduce a probabilistic mode…