Locally partially ordered groups

J. Blair Roll

Czechoslovak Mathematical Journal (1993)

  • Volume: 43, Issue: 3, page 467-481
  • ISSN: 0011-4642

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Roll, J. Blair. "Locally partially ordered groups." Czechoslovak Mathematical Journal 43.3 (1993): 467-481. <http://eudml.org/doc/31358>.

@article{Roll1993,
author = {Roll, J. Blair},
journal = {Czechoslovak Mathematical Journal},
keywords = {atlas of totally ordered arcs; multiplicative unit circle group in the complex plane; cyclically ordered group; local total orders; local partial orders; locally partially ordered group; natural torus analogue of the circle group},
language = {eng},
number = {3},
pages = {467-481},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Locally partially ordered groups},
url = {http://eudml.org/doc/31358},
volume = {43},
year = {1993},
}

TY - JOUR
AU - Roll, J. Blair
TI - Locally partially ordered groups
JO - Czechoslovak Mathematical Journal
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 43
IS - 3
SP - 467
EP - 481
LA - eng
KW - atlas of totally ordered arcs; multiplicative unit circle group in the complex plane; cyclically ordered group; local total orders; local partial orders; locally partially ordered group; natural torus analogue of the circle group
UR - http://eudml.org/doc/31358
ER -

References

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  1. A generalization of the concept of cyclically ordered groups. Ph.D. Thesis, Bowling Green State University, 1976. (1976) 
  2. Lie Groups, The University Press, Cambridge, 1967. (1967) MR0103940
  3. Partially Ordered Algebraic Systems, Pergamon Press, New York, 1983. (1983) 
  4. 10.1307/mmj/1028998976, Mich. Math. J. 10 (1963), 399–408. (1963) MR0158009DOI10.1307/mmj/1028998976
  5. Introduction to Topological Groups, W.B. Saunders, Philadelphia, 1966. (1966) Zbl0136.29402MR0200383
  6. Ordered manifolds, invariant cone fields, and semigroups. Forum Math., I (1989), 273–308. (1989) MR1005427
  7. 10.1090/S0002-9904-1976-14020-7, Bull. Amer. Math. Soc 82 (1976), 274–276. (1976) Zbl0361.06001MR0404065DOI10.1090/S0002-9904-1976-14020-7
  8. Cyclically ordered sets., Czech. Math. Jour. 32(107) (1982), 460–473. (1982) MR0669787
  9. Cuts in cyclically ordered sets., Czech. Math. Jour. 34(109) (1984), 322–333. (1984) MR0743497
  10. On the ordered and cyclically-ordered groups I–III, Věstník Král. České Spol. Nauk 6 (1946), 1–31. (1946) MR0020995
  11. 10.4064/fm-47-2-161-166, Fund. Math. 47 (1959), 161–166. (1959) Zbl0096.01501MR0110759DOI10.4064/fm-47-2-161-166
  12. 10.4064/fm-47-2-167-172, Fund. Math. 47 (1959), 167–172. (1959) Zbl0097.01404MR0110760DOI10.4064/fm-47-2-167-172
  13. 10.4064/fm-46-2-187-189, Fund. Math. 46 (1958), . (1958) MR0104651DOI10.4064/fm-46-2-187-189

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