IC rings and transitivity of perspectivity

Autor:	Pace P. Nielsen, Xavier Mary
Přispěvatelé:	Modélisation aléatoire de Paris X (MODAL'X), Université Paris Nanterre (UPN), Fédération Parisienne de Modélisation Mathématique (FP2M), Centre National de la Recherche Scientifique (CNRS)
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Transitive relation Pure mathematics Ring (mathematics) Algebra and Number Theory Perspective (geometry) Applied Mathematics Perspectivity [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] Construct (philosophy) [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR] Mathematics
Zdroj:	Journal of Algebra and Its Applications Journal of Algebra and Its Applications, 2022, 21 (08), ⟨10.1142/S0219498822501511⟩
ISSN:	0219-4988
Popis:	International audience; We construct an example of an IC ring where perspectivity is transitive, but not all isomorphic idempotents are perspective. We also develop new criteria for checking perspectivity of idempotents in rings.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::50377e13643af4134a5191f8a3d2d69d https://hal.science/hal-03765328 Zobrazit plný text záznamu