On Matlis reflexive modules
Krause H (2025)
Pacific Journal of Mathematics 337(2): 257–272.
Zeitschriftenaufsatz
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Einrichtung
Abstract / Bemerkung
Matlis duality for modules over commutative rings gives rise to the notion of Matlis reflexivity. It is shown that Matlis reflexive modules form a Krull-Schmidt category. For noetherian rings the absence of infinite direct sums is a characteristic feature of Matlis reflexivity. This leads to a discussion objects that are extensions of artinian by noetherian objects. Classifications of Matlis reflexive modules are provided for some small examples.
Stichworte
Krull-Schmidt property;
Matlis duality;
Matlis reflexive module;
pure-injective module
Erscheinungsjahr
2025
Zeitschriftentitel
Pacific Journal of Mathematics
Band
337
Ausgabe
2
Seite(n)
257–272
ISSN
0030-8730
eISSN
1945-5844
Page URI
https://pub.uni-bielefeld.de/record/3005115
Zitieren
Krause H. On Matlis reflexive modules. Pacific Journal of Mathematics . 2025;337(2):257–272.
Krause, H. (2025). On Matlis reflexive modules. Pacific Journal of Mathematics , 337(2), 257–272. https://doi.org/10.2140/pjm.2025.337.257
Krause, Henning. 2025. “On Matlis reflexive modules”. Pacific Journal of Mathematics 337 (2): 257–272.
Krause, H. (2025). On Matlis reflexive modules. Pacific Journal of Mathematics 337, 257–272.
Krause, H., 2025. On Matlis reflexive modules. Pacific Journal of Mathematics , 337(2), p 257–272.
H. Krause, “On Matlis reflexive modules”, Pacific Journal of Mathematics , vol. 337, 2025, pp. 257–272.
Krause, H.: On Matlis reflexive modules. Pacific Journal of Mathematics . 337, 257–272 (2025).
Krause, Henning. “On Matlis reflexive modules”. Pacific Journal of Mathematics 337.2 (2025): 257–272.
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