Birkhoff Centre of a Semi Group

2003 ◽  
Vol 26 (4) ◽  
pp. 659-667 ◽  
Author(s):  
U. M. Swamy ◽  
Ch. Pragathi
Keyword(s):  
2012 ◽  
Vol 14 (2) ◽  
pp. 157
Author(s):  
Yanqiu WANG ◽  
Huaxin ZHAO
Keyword(s):  

1971 ◽  
Vol 9 (4) ◽  
pp. 541-553 ◽  
Author(s):  
Z. Ditzian
Keyword(s):  

1976 ◽  
Vol 19 (5) ◽  
pp. 616-619
Author(s):  
V. V. Yudin
Keyword(s):  

1968 ◽  
Vol 5 (2) ◽  
pp. 401-413 ◽  
Author(s):  
Paul J. Schweitzer

A perturbation formalism is presented which shows how the stationary distribution and fundamental matrix of a Markov chain containing a single irreducible set of states change as the transition probabilities vary. Expressions are given for the partial derivatives of the stationary distribution and fundamental matrix with respect to the transition probabilities. Semi-group properties of the generators of transformations from one Markov chain to another are investigated. It is shown that a perturbation formalism exists in the multiple subchain case if and only if the change in the transition probabilities does not alter the number of, or intermix the various subchains. The formalism is presented when this condition is satisfied.


Author(s):  
Xiaojiang Guo ◽  
K. P. Shum

We call a quasi-adequate semi-group whose set of idempotents forms a left [right] quasi-normal band a left [right] semi-perfect abundant semi-group. After obtaining some characterization theorems of such quasi-adequate semi-groups, we establish a structure for left [right] semi-perfect abundant semi-groups of type W. Our results generalize and strengthen the results of El-Qallali and Fountain on quasi-adequate semi-groups.


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