Polynomial maps with constants on split octonion algebras

dc.contributor.author	Panja, Saikat	en_US
dc.contributor.author	SAINI, PRACHI	en_US
dc.contributor.author	SINGH, ANUPAM	en_US
dc.date.accessioned	2025-08-28T07:04:38Z
dc.date.available	2025-08-28T07:04:38Z
dc.date.issued	2025-07	en_US
dc.identifier.citation	Communications in Algebra	en_US
dc.identifier.issn	0092-7872	en_US
dc.identifier.issn	1532-4125	en_US
dc.identifier.uri	https://doi.org/10.1080/00927872.2025.2531559	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10366
dc.description.abstract	Let O(F) be the split octonion algebra over an algebraically closed field F. For positive integers k(1), k(2) >= 2, we study surjectivity of the map A(1)(x(1)(k)) + A(2)(y(2)(k)) is an element of O(F)< x, y > on O(F). For this, we use the orbit representatives of the G2(F)-action on O(F) x O(F) for the tuple (A(1), A(2)), and characterize the ones which give a surjective map.	en_US
dc.language.iso	en	en_US
dc.publisher	Taylor & Francis	en_US
dc.subject	G(2)	en_US
dc.subject	Polynomial maps	en_US
dc.subject	Split octonion algebra	en_US
dc.subject	2025-AUG-WEEK1	en_US
dc.subject	TOC-AUG-2025	en_US
dc.subject	2025	en_US
dc.title	Polynomial maps with constants on split octonion algebras	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Communications in Algebra	en_US
dc.publication.originofpublisher	Foreign	en_US