Special clean elements, perspective elements and perspective rings

Autor:	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:	Algebra and Number Theory Applied Mathematics [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA] [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]
Zdroj:	Journal of Algebra and Its Applications Journal of Algebra and Its Applications, In press, ⟨10.1142/S0219498823500901⟩
ISSN:	0219-4988
DOI:	10.1142/S0219498823500901⟩
Popis:	International audience; Motivated by the idea of perspectivity of rings and modules, we introduce perspective elements of a ring. We notably prove that perspective elements form a proper subset of special clean elements, and that perspectivity of elements is a left-right symmetric property. An equational characterization of perspective elements is also given and examples are provided.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e300daca944a75217742a8e7949571b https://hal.science/hal-03765350 Zobrazit plný text záznamu