ON INVARIANCE OF RECURSIVE DIFFERENTIABILITY UNDER TH E ISOTOPY OF LEFT BOL LOOPS
Date
2007
Journal Title
Journal ISSN
Volume Title
Publisher
CEP USM
Abstract
We prove that the recursive derivatives of order 1 of isotopic left Bol loops are isotopic and that every loop, isotopic to a recursively 1-differentiable left Bol loop, is recursively 1-differentiable.The recursive differentiability of di-associative loops is also considered.
Description
Keywords
Recursively differentiable quasigroup, recursive derivative, isostrophe, core, LIP-loop, left Bol loop
Citation
LARIONOVA-COJOCARU, I., SYRBU, P. On invariance of recursive differentiability under th e isotopy of left Bol loops. In: The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 117-120. ISBN 978-9975-71-915-5.