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Idempotent Completion of Triangulated Categories

Journal of Algebra, 2001
We show that the idempotent completion of a triangulated category has a natural structure of a triangulated category. The idempotent completion of the bounded derived category of an exact category gives the derived category of the idempotent completion ...
Marco Schlichting
exaly   +1 more source

On Fully Idempotent Modules

Communications in Algebra, 2011
A submodule N of a module M is idempotent if N = Hom (M,N)N. The module M is fully idempotent if every submodule of M is idempotent. We prove that over a commutative ring, cyclic idempotent submodules of any module are direct summands.
Derya Keskin Tütüncü
exaly   +2 more sources

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Idempotent graphs, weak perfectness, and zero-divisor graphs

Soft Computing, 2021
Avinash A. Patil
exaly  

Factorizations of idempotent operator as products of two idempotents

Advances in Operator Theory, 2023
Wei Luo
exaly  

Fuzzy-set approach to invariant idempotent measures

Fuzzy Sets and Systems, 2023
Filip Strobin, Elismar R Oliveira, Rudnei D da Cunha   +2 more
exaly  

The Karoubi envelope and weak idempotent completion of an extriangulated category

Applied Categorical Structures, 2021
Dixy Msapato
exaly  

Idempotent Functional Analysis: An Algebraic Approach

Mathematical Notes, 2001
Victor Maslov, G L Litvinov
exaly  

A note on decomposition of idempotent uninorms into an ordinal sum of singleton semigroups

Fuzzy Sets and Systems, 2016
Andrea Mesiarová-Zemánková
exaly  

On idempotency of linear combinations of idempotent matrices

Applied Mathematics and Computation, 2004
Halim Özdemir
exaly  

Idempotent nullnorms on bounded lattices

Information Sciences, 2018
Funda Karaçal, Gul Deniz Cayli
exaly