Σ-Pure Injective Modules over Serial Rings

Gennadi Puninski
Additional contact information
Gennadi Puninski: Moscow State Social University, Department of Mathematics

Chapter Chapter 16 in Serial Rings, 2001, pp 198-205 from Springer

Abstract: Abstract A module M is called Σ-injective (Σ-pure injective) if for every set I the direct sum M(I) is an injective (pure injective) module. The following result gives a model-theoretical interpretation of this notion.

Keywords: Injective Module; Noetherian Ring; Serial Ring; Homogeneous Component; Injective Envelope (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0652-1_16

Ordering information: This item can be ordered from
http://www.springer.com/9789401006521

DOI: 10.1007/978-94-010-0652-1_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().