ON RECURSIVE DIFFERENTIABILITY OF BINARY QUASIGROUPS

Larionova-Cojocaru, Inga; Syrbu, Parascovia

dc.contributor.author	Larionova-Cojocaru, Inga
dc.contributor.author	Syrbu, Parascovia
dc.date.accessioned	2022-12-12T14:22:47Z
dc.date.available	2022-12-12T14:22:47Z
dc.date.issued	2014
dc.identifier.citation	LARIONOVA - COJOCARU, Inga, SYRBU, Parascovia. On recursive differentiability of binary quasigroups. In: Conference of Mathematical Society of the Republic of Moldova. 3, 19-23 august 2014, Chișinău. Chișinău: "VALINEX" SRL, 2014, pp. 126-129. ISBN 978-9975-68-244-2.	en
dc.identifier.isbn	978-9975-68-244-2
dc.identifier.uri	http://dspace.usm.md:8080/xmlui/handle/123456789/7966
dc.description.abstract	A quasigroup is called recursively n-differentiable if its first n recursive derivatives are quasigroups. The class of recursively differential quasigroups is arisen in the theory of MDS codes, in early 2000. Connections between recursive derivatives of different order are found in the present work. It is shown that isomorphic quasigroups have isomorphic recursive derivatives of any order. Also, it is proved that, if the recursive derivative of order one of a finite quasigroup (Q, ·) is commutative, then its group of inner mappings is a subgrup of the group of inner mappings of (Q, ·), of the same index as their corresponding multiplication groups.	en
dc.language.iso	ro	en
dc.publisher	"VALINEX"	en
dc.subject	recursive derivative	en
dc.subject	the group of inner mappings	en
dc.title	ON RECURSIVE DIFFERENTIABILITY OF BINARY QUASIGROUPS	en
dc.type	Article	en