α-limits of algebras

Abdallah Laradji

doi:10.1081/AGB-100105045

α-limits of algebras

Abdallah Laradji^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we prove some universal algebraic properties of α-limits, and apply them to characterize a certain class of ∑-pure injective rings. This will provide an answer to a generalized version of a problem of Jensen and Lenzing. Our results also yield a module-theoretic characterization of singular cardinals.

Original language	English
Pages (from-to)	3635-3640
Number of pages	6
Journal	Communications in Algebra
Volume	29
Issue number	8
DOIs	https://doi.org/10.1081/AGB-100105045
State	Published - 2001

Bibliographical note

Funding Information:
The author gratefully acknowledges the support of King Fahd University of Petroleum and Minerals.

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1081/AGB-100105045

Cite this

@article{9d4c868a676d488ba8bfeb6b5013572e,

title = "α-limits of algebras",

abstract = "In this note we prove some universal algebraic properties of α-limits, and apply them to characterize a certain class of ∑-pure injective rings. This will provide an answer to a generalized version of a problem of Jensen and Lenzing. Our results also yield a module-theoretic characterization of singular cardinals.",

author = "Abdallah Laradji",

note = "Funding Information: The author gratefully acknowledges the support of King Fahd University of Petroleum and Minerals.",

year = "2001",

doi = "10.1081/AGB-100105045",

language = "English",

volume = "29",

pages = "3635--3640",

journal = "Communications in Algebra",

issn = "0092-7872",

number = "8",

}

TY - JOUR

T1 - α-limits of algebras

AU - Laradji, Abdallah

N1 - Funding Information: The author gratefully acknowledges the support of King Fahd University of Petroleum and Minerals.

PY - 2001

Y1 - 2001

N2 - In this note we prove some universal algebraic properties of α-limits, and apply them to characterize a certain class of ∑-pure injective rings. This will provide an answer to a generalized version of a problem of Jensen and Lenzing. Our results also yield a module-theoretic characterization of singular cardinals.

AB - In this note we prove some universal algebraic properties of α-limits, and apply them to characterize a certain class of ∑-pure injective rings. This will provide an answer to a generalized version of a problem of Jensen and Lenzing. Our results also yield a module-theoretic characterization of singular cardinals.

UR - https://www.scopus.com/pages/publications/0035599401

U2 - 10.1081/AGB-100105045

DO - 10.1081/AGB-100105045

M3 - Article

AN - SCOPUS:0035599401

SN - 0092-7872

VL - 29

SP - 3635

EP - 3640

JO - Communications in Algebra

JF - Communications in Algebra

IS - 8

ER -

α-limits of algebras

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this