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- W2004605217 abstract "It is well known from the results of L, A. Nazarova and A. G. Zavadskij [18], [19], see also [25, Chapter 15], that a poset J with one maximal element is of tame prinjective type and of polynomial growth if and only if J does not contain neither any of the Nazarova's hypercritical posets (1,1,1,1,1)*, (1,1,1,2)*,(2,2,3)*, (1,3,4)*,(W,5)*,(1,2,6)* nor the Nazarova-Zavadskij poset (NZ)* (see Table 1 below). In the present paper we extend this result to a class of posets with two maximal elements. We show that Ã-free poset with two maximal elements is of tame representation type and of polynomial growth if and only if the Tits quadratic form qs → Z (see (1.7) below) associated with J is weakly non-negative and J does not contain any of the six posets listed in Table 1 as a peak subposet." @default.
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- W2004605217 date "2000-01-01" @default.
- W2004605217 modified "2023-10-18" @default.
- W2004605217 title "A criterion for polynomial growth of a-free two-peak posets of tame prinjective type*" @default.
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- W2004605217 doi "https://doi.org/10.1080/00927870008827149" @default.
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