函子范畴中的伴随预包络和伴随预包络

IF 0.2 4区数学 Q4 MATHEMATICS

Mathematical Reports Pub Date : 2022-01-01 DOI:10.59277/mrar.2023.25.75.1.85

Shoutao Guo, Xiaoyan Yang

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引用次数: 0

摘要

伴随预包和伴随预包在函子的范畴中通过用⊗代替函子来定义。研究了伴随预包络和伴随预包络的存在性及其基本性质。我们得到了伴随预包络、伴随预包络、预包络和预包络之间的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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"ADJOINT PREENVELOPES AND ADJOINT PRECOVERS IN THE FUNCTOR CATEGORY"

"Adjoint preenvelopes and adjoint precovers are defined in the category of functors by replacing the functor Hom with ⊗. We investigate the existence and basic properties of adjoint preenvelopes and adjoint precovers. The F-projective (F-injective, F-flat) functors introduced by Mao are characterized in terms of adjoint preenvelopes and adjoint precovers. We obtain relationships among adjoint preenvelopes, adjoint precovers, preenvelopes and precovers."

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来源期刊

Mathematical Reports MATHEMATICS-

CiteScore

0.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500. Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.