Geodesic
Root Selections and 2p-th Root Selections in Hyperfields
Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 43-53

Voir la notice de l'article provenant de la source Library of Science

In this paper we define root selections and 2p-th root selections for hyperfields: these are multiplicative subgroups whose existence is equivalent to the existence of a well behaved square root function and 2p-th root function, respectively. We proceed to investigate some basic properties of such root selections, and draw some parallels between the theory of root selections for hyperfields and the theory of orderings and orderings of higher level in hyperfields previously studied by the author.
Keywords: square roots, orderings, orderings of higher level, hyperfields, 2p-th roots 
@article{DMGAA_2019_39_1_a3,
     author = {G{\l}adki, Pawe{\l}},
     title = {Root {Selections} and 2\protect\textsuperscript{p}-th {Root} {Selections} in {Hyperfields}},
     journal = {Discussiones Mathematicae. General Algebra and Applications},
     pages = {43--53},
     publisher = {mathdoc},
     volume = {39},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a3/}
}
TY  - JOUR
AU  - Gładki, Paweł
TI  - Root Selections and 2p-th Root Selections in Hyperfields
JO  - Discussiones Mathematicae. General Algebra and Applications
PY  - 2019
SP  - 43
EP  - 53
VL  - 39
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a3/
LA  - en
ID  - DMGAA_2019_39_1_a3
ER  - 
%0 Journal Article
%A Gładki, Paweł
%T Root Selections and 2p-th Root Selections in Hyperfields
%J Discussiones Mathematicae. General Algebra and Applications
%D 2019
%P 43-53
%V 39
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a3/
%G en
%F DMGAA_2019_39_1_a3
Gładki, Paweł. Root Selections and 2p-th Root Selections in Hyperfields. Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 1, pp. 43-53. http://geodesic.mathdoc.fr/item/DMGAA_2019_39_1_a3/