scholarly journals Correction to: On Finite Generability of Clones of Finite Posets

Order ◽  
2019 ◽  
Vol 36 (3) ◽  
pp. 667-667
Author(s):  
Ádám Kunos ◽  
Miklós Maróti ◽  
László Zádori
Keyword(s):  
Order ◽  
1985 ◽  
Vol 2 (4) ◽  
pp. 387-402 ◽  
Author(s):  
Graham R. Brightwell

Author(s):  
Jacqui Ramagge ◽  
Wayne W. Wheeler

AbstractIf P is a partially ordered set and R is a commutative ring, then a certain differential graded R-algebra A•(P) is defined from the order relation on P. The algebra A•() corresponding to the empty poset is always contained in A•(P) so that A•(P) can be regarded as an A•()-algebra. The main result of this paper shows that if R is an integral domain and P and P′ are finite posets such that A•(P)≅A•(P′) as differential graded A•()-algebras, then P and P′ are isomorphic.


2005 ◽  
Vol 15 (05n06) ◽  
pp. 997-1012 ◽  
Author(s):  
V. V. KIRICHENKO ◽  
A. V. ZELENSKY ◽  
V. N. ZHURAVLEV

Exponent matrices appear in the theory of tiled orders over a discrete valuation ring. Many properties of such an order and its quiver are fully determined by its exponent matrix. We prove that an arbitrary strongly connected simply laced quiver with a loop in every vertex is realized as the quiver of a reduced exponent matrix. The relations between exponent matrices and finite posets, Markov chains, and doubly stochastic matrices are discussed.


1995 ◽  
Vol 172 (1) ◽  
pp. 167-183 ◽  
Author(s):  
S. Mcadam
Keyword(s):  

Order ◽  
2003 ◽  
Vol 20 (4) ◽  
pp. 291-298 ◽  
Author(s):  
Gábor Kun ◽  
Csaba Szabó
Keyword(s):  

2005 ◽  
Vol 52 (2-3) ◽  
pp. 119-136 ◽  
Author(s):  
Benoit Larose ◽  
L�szl� Z�dori

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