Kato Yuki
AN ALMOST DERIVED ANALOGUE OF NAKAYAMA’S LEMMA
Research reports of National institute of technology, Ube College Volume 69
Page 39-41
published_at 2023-03
Title
An almost derived analogue of Nakayama's Lemma
AN ALMOST DERIVED ANALOGUE OF NAKAYAMA’S LEMMA
Abstract
Abstract. As Nakayama’s lemma, in commutative ring theory, it is well-known that the residue functor of
an ideal contained in the Jacobson radical is conservative. In almost mathematics setting, considering an
almost version of perfect complexes, we prove an almost derived analogue of Nakayama’s lemma, stating
the conservativity of the derived functor of the residue of a tight ideal contained in the Jacobson radical.
an ideal contained in the Jacobson radical is conservative. In almost mathematics setting, considering an
almost version of perfect complexes, we prove an almost derived analogue of Nakayama’s lemma, stating
the conservativity of the derived functor of the residue of a tight ideal contained in the Jacobson radical.
Source Identifiers
[PISSN] 0386-4359
[NCID] AN00019833
Creator Keywords
Almost mathematics, derived categories.
Resource Type
departmental bulletin paper
Publishers
宇部工業高等専門学校
Date Issued
2023-03
File Version
Version of Record
Access Rights
open access