Localization, Isomorphisms and Adjoint Isomorphism in the Category Comp(A - Mod)

Autor:	Mamadou Sanghare, Mohamed Ben Faraj Ben Maaouia, Bassirou Dembele
Rok vydání:	2020
Předmět:	Combinatorics Functor Mod Isomorphism Commutative ring Adjoint functors Mathematics
Zdroj:	Journal of Mathematics Research. 12:65
ISSN:	1916-9809 1916-9795
DOI:	10.5539/jmr.v12n4p65
Popis:	A and B are considered to be non necessarily commutative rings and X a complex of (A - B) bimodules. The aim of this paper is to show that: The functors \overline{EXT}^n_{Comp(A-Mod)}(X,-): Comp(A-Mod) \longrightarrow Comp(B-Mod) and Tor_n^{Comp(B-Mod)}(X,-): Comp(B-Mod) \longrightarrow Comp(A-Mod) are adjoint functors. The functor S_C^{-1}() commute with the functors X\bigotimes - , Hom^{\bullet}(X,-) and their corresponding derived functors \overline{EXT}^n_{Comp(A-Mod)}(X,-) and Tor_n^{Comp(B-Mod)}(X,-).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d1f86f24cef12e64df9410fe7045a145 https://doi.org/10.5539/jmr.v12n4p65 Zobrazit plný text záznamu