Lifting of automorphisms of factor modules

Abyzov, A. N.; Truong, C. Q.

doi:10.1080/00927872.2018.1461884

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction and Basic Definitions1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

2023

Publication Types

Select...

Article4

Other1

Book1

Relationship

Self Cite0

Independent6

Authors

Journals

Cited by 7 publications

(1 citation statement)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also, they characterized some rings by the properties of automorphism liftable modules and they studied automorphism liftable modules with the summand sum and summand intersection properties. At the same time Abyzov and Truong [2] introduced the same concept in the name of dual automorphism-extendable module. In this paper, we discuss the question "When a direct sum of automorphism liftable modules will become automorphism liftable?".…”

Section: Introduction and Basic Definitionsmentioning

confidence: 99%

A Note on Automorphism Liftable Modules

Santhakumar¹

2019

International Electronic Journal of Algebra

View full text Add to dashboard Cite

show abstract

Section: Introduction and Basic Definitionsmentioning

confidence: 99%

A Note on Automorphism Liftable Modules

Santhakumar¹

2019

International Electronic Journal of Algebra

View full text Add to dashboard Cite

show abstract

Invariance of Modules under Automorphisms of their Envelopes and Covers

Srivastava

Tuganbaev

Asensio

2021

View full text Add to dashboard Cite

The theory of invariance of modules under automorphisms of their envelopes and covers has opened up a whole new direction in the study of module theory. It offers a new perspective on generalizations of injective, pure-injective and flat-cotorsion modules beyond relaxing conditions on liftings of homomorphisms. This has set off a flurry of work in the area, with hundreds of papers using the theory appearing in the last decade. This book gives the first unified treatment of the topic. The authors are real experts in the area, having played a major part in the breakthrough of this new theory and its subsequent applications. The first chapter introduces the basics of ring and module theory needed for the following sections, making it self-contained and suitable for graduate students. The authors go on to develop and explain their tools, enabling researchers to employ them, extend and simplify known results in the literature and to solve longstanding problems in module theory, many of which are discussed at the end of the book.

show abstract

Automorphism-Liftable Modules

Tuganbaev

2021

Invariance of Modules Under Automorphisms of Their Envelopes and Covers

View full text Add to dashboard Cite

Lifting of automorphisms of factor modules

Cited by 7 publications

References 13 publications

A Note on Automorphism Liftable Modules

A Note on Automorphism Liftable Modules

Invariance of Modules under Automorphisms of their Envelopes and Covers

Automorphism-Liftable Modules

Contact Info

Product

Resources

About