Algebras of Acyclic Type
1981 ◽
Vol 33
(1)
◽
pp. 129-141
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Keyword(s):
In this paper we consider the problem of determining when an algebra of formal power series over a commutative ring R is the homomorphic image of a reduced incidence algebra P(R, ∽). The question of when two such algebras are isomorphic is answered in Section 8 of [1]. A slight generalization of their notion of full binomial type is introduced here.Section 1 contains background material together writh a summary of the results of [1]. In Section 2 we present the desired characterization, and to conclude an application appears in Section 3. In Section 3 the tools of Section 2 are used to derive an equation of R. W. Robinson and R. P. Stanley which counts labelled, acyclic digraphs.
1990 ◽
Vol 33
(3)
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pp. 483-490
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Keyword(s):
1978 ◽
Vol 6
(12)
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pp. 1187-1215
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Keyword(s):
1979 ◽
Vol 27
(3)
◽
pp. 313-318
Keyword(s):
1954 ◽
Vol 6
◽
pp. 325-340
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Keyword(s):
2018 ◽
Vol 17
(10)
◽
pp. 1850199
Keyword(s):
Keyword(s):
2001 ◽
Vol 64
(1)
◽
pp. 13-28
◽
2011 ◽
Vol 89
(103)
◽
pp. 1-9
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Keyword(s):
2003 ◽
Vol 184
(2)
◽
pp. 369-383
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