The Structure of Aisles and Co-aisles of t-Structures and Co-t-structures

IF 0.6 4区 数学 Q3 MATHEMATICS Applied Categorical Structures Pub Date : 2024-02-06 DOI:10.1007/s10485-023-09755-8
Aran Tattar
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Abstract

Right triangulated categories can be thought of as triangulated categories whose shift functor is not an equivalence. We give intrinsic characterisations of when such categories are appearing as the (co-)aisle of a (co-)t-structure in an associated triangulated category. Along the way, we also give an interpretation of these structures in the language of extriangulated categories.

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t 型结构和共 t 型结构的走道和共走道结构
右三角范畴可以看作是其移位函子不是等价的三角范畴。我们给出了这类范畴作为相关三角范畴中(共)t 结构的(共)过道出现时的内在特征。同时,我们还给出了这些结构在外缠范畴语言中的解释。
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来源期刊
CiteScore
1.30
自引率
16.70%
发文量
29
审稿时长
>12 weeks
期刊介绍: Applied Categorical Structures focuses on applications of results, techniques and ideas from category theory to mathematics, physics and computer science. These include the study of topological and algebraic categories, representation theory, algebraic geometry, homological and homotopical algebra, derived and triangulated categories, categorification of (geometric) invariants, categorical investigations in mathematical physics, higher category theory and applications, categorical investigations in functional analysis, in continuous order theory and in theoretical computer science. In addition, the journal also follows the development of emerging fields in which the application of categorical methods proves to be relevant. Applied Categorical Structures publishes both carefully refereed research papers and survey papers. It promotes communication and increases the dissemination of new results and ideas among mathematicians and computer scientists who use categorical methods in their research.
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