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<p>We propose a classification of posets closely related (with respect to their Tits quadratic forms) to the generalizations of the critical and supercritical posets, which appeared (for the first time) in Kleiner’s and Nazarova’s criteria on representation types of posets. These criteria were first formulated in a new representation theory initiated by L. O. Nazarova and A. V. Roiter in 1972. The method of minimax isomorphism (introduced by the first author) plays the principal role in presented investigation.</p>

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Classification of the Posets of Minimax Types Which Are Symmetric Oversupercritical Posets of the Eighth Order

  • 期刊论文

  • 发表日期：

    2025年7月26日

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  • V. M. Bondarenko,
  • M. V. Styopochkina

摘要

We propose a classification of posets closely related (with respect to their Tits quadratic forms) to the generalizations of the critical and supercritical posets, which appeared (for the first time) in Kleiner’s and Nazarova’s criteria on representation types of posets. These criteria were first formulated in a new representation theory initiated by L. O. Nazarova and A. V. Roiter in 1972. The method of minimax isomorphism (introduced by the first author) plays the principal role in presented investigation.