Remarks to Głazek's results on n-ary groups

Wiesław A. Dudek

Discussiones Mathematicae - General Algebra and Applications (2007)

  • Volume: 27, Issue: 2, page 199-233
  • ISSN: 1509-9415

Abstract

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This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.

How to cite

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Wiesław A. Dudek. "Remarks to Głazek's results on n-ary groups." Discussiones Mathematicae - General Algebra and Applications 27.2 (2007): 199-233. <http://eudml.org/doc/276893>.

@article{WiesławA2007,
abstract = {This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.},
author = {Wiesław A. Dudek},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {polyadic group; n-ary group; variety; representation; -groups; varieties; representations; skew elements; Hosszú-Gluskin algebras; -ary groups; axiomatization; covering groups},
language = {eng},
number = {2},
pages = {199-233},
title = {Remarks to Głazek's results on n-ary groups},
url = {http://eudml.org/doc/276893},
volume = {27},
year = {2007},
}

TY - JOUR
AU - Wiesław A. Dudek
TI - Remarks to Głazek's results on n-ary groups
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2007
VL - 27
IS - 2
SP - 199
EP - 233
AB - This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.
LA - eng
KW - polyadic group; n-ary group; variety; representation; -groups; varieties; representations; skew elements; Hosszú-Gluskin algebras; -ary groups; axiomatization; covering groups
UR - http://eudml.org/doc/276893
ER -

References

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