错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Ideal balanced pairs in extriangulated categories

  • Rongrong Xu,
  • Xianhui Fu

摘要

Let \({\cal C} = ({\cal C},\mathbb{E},\mathfrak{s})\) C = ( C , E , s ) be an extriangulated category. In this paper, we give the notion of ideal balanced pairs in \({\cal C}\) C and some equivalent characterizations of ideal balanced pairs. We show that there is a one-to-one correspondence between balanced pairs and ideal balanced pairs satisfying certain conditions when \({\cal C}\) C is of a negative first extension. We also prove that there is a bijective correspondence between ideal balanced pairs ( \({\cal I},{\cal J}\) , J ) and additive subfunctors \(\mathbb{F} \subseteq \mathbb{E}\) F E with enough projective morphisms and enough injective morphisms in \({\cal C}\) C .