Browsing 2005 by Author "Bondarenko, Vitalij M."

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On posets of width two with positive Tits form

Bondarenko, Vitalij M.; Styopochkina, Marina V. (Луганский национальный университет им. Т. Шевченко, 2005)

We give a complete description of the finite posets of width two with the Tits form to be positive. This problem arises in studying the categories of representations of posets of finite type.
On representation type of a pair of posets with involution

Bondarenko, Vitalij M. (Луганский национальный университет им. Т. Шевченко, 2004)

In this paper we consider the problem on classifying the representations of a pair of posets with involution. We prove that if one of these is a chain of length at least 4 with trivial involution and the other is with ...

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