Inverse semigroups generated by group congruences. The Möbius functions

• Дата: 2018
• Автор: Schwab, Emil Daniel
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: combinatorial inverse semigroup; group congruence; Möbius function; Möbius category; 20M18; 06A07
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/761
• Назва журналу: Algebra and Discrete Mathematics

The computation of the Möbius function of a Möbius category that arises from a combinatorial inverse semigroup has a distinctive feature. This computation is done on the field of finite posets. In the case of two combinatorial inverse semigroups, order isomorphisms between corresponding finite poset...