Convergence with a regulator in directed groups
Discussiones Mathematicae - General Algebra and Applications (2004)
- Volume: 24, Issue: 2, page 211-223
- ISSN: 1509-9415
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Abstract
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topŠtefan Černák. "Convergence with a regulator in directed groups." Discussiones Mathematicae - General Algebra and Applications 24.2 (2004): 211-223. <http://eudml.org/doc/287756>.
@article{ŠtefanČernák2004,
abstract = {There is defined and studied a convergence with a fixed regulator u in directed groups. A u-Cauchy completion of an integrally closed directed group is constructed.},
author = {Štefan Černák},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {convergent sequence; fundamental sequence; Cauchy completion; integrally closed directed group; convergence regulator; vector lattice; convergence sequence; regulator; directed group},
language = {eng},
number = {2},
pages = {211-223},
title = {Convergence with a regulator in directed groups},
url = {http://eudml.org/doc/287756},
volume = {24},
year = {2004},
}
TY - JOUR
AU - Štefan Černák
TI - Convergence with a regulator in directed groups
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2004
VL - 24
IS - 2
SP - 211
EP - 223
AB - There is defined and studied a convergence with a fixed regulator u in directed groups. A u-Cauchy completion of an integrally closed directed group is constructed.
LA - eng
KW - convergent sequence; fundamental sequence; Cauchy completion; integrally closed directed group; convergence regulator; vector lattice; convergence sequence; regulator; directed group
UR - http://eudml.org/doc/287756
ER -
References
top- [1] S. Černák and J. Lihova, Convergence with a regulator in lattice ordered groups, Tatra Mt. Math. Publ. to appear. Zbl1150.06020
- [2] M.R. Darnel, Theory of Lattice-Ordered Groups, M. Dekker, Inc., New York 1995 Zbl0810.06016
- [3] L. Fuchs, Partially Ordered Algebraic Systems, Pergamon Press., Oxford 1963. Zbl0137.02001
- [4] A.M.W. Glass, Partially Ordered Groups, World Scientific Publ. Co., River Edge, NJ, 1999. Zbl0933.06010
- [5] W.A.J. Luxemburg and A. C. Zaanen, Riesz Spaces, vol. I, North-Holland, Amsterdam-London 1971. Zbl0231.46014
- [6] B.Z. Vulikh, Introduction to the Theory of Partially Ordered Spaces, Wolters-Noordhoff Sci. Publ., Groningen 1967 (The original Russian edition in: Fizmatgiz, Moskow 1961).
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