From finite posets to chain complete posets having no infinite antichain

Order ◽  
1995 ◽  
Vol 12 (2) ◽  
pp. 159-171 ◽  
Author(s):  
Boyu Li ◽  
E. C. Milner
Keyword(s):  
Chain Complete ◽  
Finite Posets

scholarly journals Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Jinlu Li ◽  
Ying Liu ◽  
Hongya Gao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Topological Structure ◽  
Fixed Point Theorems ◽  
Equilibrium Problems ◽  
Saddle Points ◽  
Order Relation ◽  
Partial Order Relation ◽  
Chain Complete ◽  
Set Valued Mappings

We apply the extensions of the Abian-Brown fixed point theorem for set-valued mappings on chain-complete posets to examine the existence of generalized and extended saddle points of bifunctions defined on posets. We also study the generalized and extended equilibrium problems and the solvability of ordered variational inequalities on posets, which are equipped with a partial order relation and have neither an algebraic structure nor a topological structure.

Some correlation inequalities in finite posets

Order ◽  
1985 ◽  
Vol 2 (4) ◽  
pp. 387-402 ◽  
Author(s):  
Graham R. Brightwell
Keyword(s):  
Correlation Inequalities ◽  
Finite Posets

The Turbocharger Products and Manufacturing Research

2014 ◽  
Vol 651-653 ◽  
pp. 932-935
Author(s):  
Su Ying Xu
Keyword(s):  
Internal Combustion Engine ◽  
Manufacturing Industry ◽  
Combustion Engine ◽  
Enterprise Management ◽  
Production Scale ◽  
Industry Chain ◽  
Industrial Chain ◽  
Mode Of Operation ◽  
Chain Complete ◽  
Production Organization

the exhaust turbine supercharger in the process of manufacturing is made up of many enterprises to participate in the production and management. Production organization form of the differences is determined by the scale of production and mode of operation. Parts of casting blank and parts processing has formed a complete industrial chain. Complete parts processing and manufacturing industry chain has failed to form the advantage of the products. Many companies, management can not meet the user's demand. Also can't satisfy the hosts, scale and qualification requirements of production enterprises. Enterprise management has been formed a consortium. Enterprise production scale and qualification of such as to meet the requirement of enterprises for internal combustion engine accessories. The manufacture of parts and exhaust turbocharger parts processing and assembly in production process can be controlled. Is helpful to the enterprise's development and improvement of product quality.

scholarly journals Three counterexamples concerning ω-chain completeness and fixed point properties

1981 ◽  
Vol 24 (2) ◽  
pp. 141-146 ◽  
Author(s):  
J. D. Mashburn
Keyword(s):  
Fixed Point ◽  
Upper Bound ◽  
Partially Ordered Set ◽  
Ordered Set ◽  
Partially Ordered ◽  
Fixed Point Properties ◽  
Countable Chain ◽  
Chain Complete

A partially ordered set, is ω-chain complete if, for every countable chain, or ω-chain, in P, the least upper bound of C, denoted by sup C, exists. Notice that C could be empty, so an ω-chain complete partially ordered set has a least element, denoted by 0.

scholarly journals Posets and differential graded algebras

1998 ◽  
Vol 64 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Jacqui Ramagge ◽  
Wayne W. Wheeler
Keyword(s):  
Commutative Ring ◽  
Partially Ordered Set ◽  
Integral Domain ◽  
Ordered Set ◽  
Order Relation ◽  
Graded Algebras ◽  
Partially Ordered ◽  
Differential Graded Algebras ◽  
Finite Posets

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.

EXPONENT MATRICES AND TILED ORDERS OVER DISCRETE VALUATION RINGS

2005 ◽  
Vol 15 (05n06) ◽  
pp. 997-1012 ◽  
Author(s):  
V. V. KIRICHENKO ◽  
A. V. ZELENSKY ◽  
V. N. ZHURAVLEV
Keyword(s):  
Markov Chains ◽  
Valuation Ring ◽  
Discrete Valuation Ring ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Discrete Valuation Rings ◽  
Valuation Rings ◽  
Strongly Connected ◽  
Exponent Matrix ◽  
Finite Posets

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.

A minimax theorem for chain complete ordered sets

Order ◽  
1988 ◽  
Vol 5 (1) ◽  
Author(s):  
HenryA. Kierstead
Keyword(s):  
Minimax Theorem ◽  
Ordered Sets ◽  
Chain Complete
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