Erratum to: A Geometric Characterization of the Hjelmslev–Moufang Planes

Author(s):  
Anneleen De Schepper ◽  
Jeroen Schillewaert ◽  
Hendrik Van Maldeghem ◽  
Magali Victoor
2017 ◽  
Vol 18 ◽  
pp. 95-102 ◽  
Author(s):  
Jacob M. Hundley ◽  
Zak C. Eckel ◽  
Emily Schueller ◽  
Kenneth Cante ◽  
Scott M. Biesboer ◽  
...  

2004 ◽  
Vol 47 (2) ◽  
pp. 257-263
Author(s):  
Alka Marwaha

AbstractA band is a semigroup of idempotent operators. A nonnegative band S in having at least one element of finite rank and with rank (S) > 1 for all S in S is known to have a special kind of common invariant subspace which is termed a standard subspace (defined below).Such bands are called decomposable. Decomposability has helped to understand the structure of nonnegative bands with constant finite rank. In this paper, a geometric characterization of maximal, rank-one, indecomposable nonnegative bands is obtained which facilitates the understanding of their geometric structure.


1976 ◽  
Vol 28 (1) ◽  
pp. 186-200 ◽  
Author(s):  
A. M. W. Glass

N. R. Reilly has obtained an algebraic characterization of the compatible tight Riesz orders that can be supported by certain partially ordered groups [13; 14]. The purpose of this paper is to give a “geometric“ characterization by the use of ordered permutation groups. Our restrictions on the partially ordered groups will likewise be geometric rather than algebraic. Davis and Bolz [3] have done some work on groups of all order-preserving permutations of a totally ordered field; from our more general theorems, we will be able to recapture their results.


2006 ◽  
Vol 79 (8) ◽  
pp. 845-857 ◽  
Author(s):  
H. Haimovich ◽  
M. M. Seron ◽  
G. C. Goodwin

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