Half-isomorphisms of Moufang loops

Michael Kinyon; Izabella Stuhl; Petr Vojtěchovský

doi:10.1016/j.jalgebra.2015.10.022

Half-isomorphisms of Moufang loops

Michael Kinyon
, Izabella Stuhl
, Petr Vojtěchovský

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We prove that if the squaring map in the factor loop of a Moufang loop Q over its nucleus is surjective, then every half-isomorphism of Q onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.

Original language	English (US)
Pages (from-to)	152-161
Number of pages	10
Journal	Journal of Algebra
Volume	450
DOIs	https://doi.org/10.1016/j.jalgebra.2015.10.022
State	Published - Mar 15 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2015.10.022

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title = "Half-isomorphisms of Moufang loops",

abstract = "We prove that if the squaring map in the factor loop of a Moufang loop Q over its nucleus is surjective, then every half-isomorphism of Q onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.",

author = "Michael Kinyon and Izabella Stuhl and Petr Vojt{\v e}chovsk{\'y}",

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T1 - Half-isomorphisms of Moufang loops

AU - Kinyon, Michael

AU - Stuhl, Izabella

AU - Vojtěchovský, Petr

PY - 2016/3/15

Y1 - 2016/3/15

N2 - We prove that if the squaring map in the factor loop of a Moufang loop Q over its nucleus is surjective, then every half-isomorphism of Q onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.

AB - We prove that if the squaring map in the factor loop of a Moufang loop Q over its nucleus is surjective, then every half-isomorphism of Q onto a Moufang loop is either an isomorphism or an anti-isomorphism. This generalizes all earlier results in this vein.

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UR - https://www.scopus.com/pages/publications/84947475488#tab=citedBy

U2 - 10.1016/j.jalgebra.2015.10.022

DO - 10.1016/j.jalgebra.2015.10.022

M3 - Article

AN - SCOPUS:84947475488

SN - 0021-8693

VL - 450

SP - 152

EP - 161

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Half-isomorphisms of Moufang loops

Abstract

All Science Journal Classification (ASJC) codes

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