| ID | 70893 |
| FullText URL | |
| Author |
Kato, Ryo
Department of Core Studies, Kochi University of Technology
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| Abstract | In [3], Hovey and Palmieri proved many interesing results around the Bousfield lattice of the stable homotopy caregory of spectra. In [4], the author, Shimomura and Tatehara defined monoidally distributive posets as a generalization of the Bousfield lattice. In this paper, we consider the retract problem and a subset admitting complete Boolean algebra structure of monoidally distributive posets. In the last section, we see that some results in [3] are given by our results in this paper.
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| Keywords | Bousfield lattice
Monoidal poset
Retract problem
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| Note | Mathematics Subject Classification. Primary 55P42; Secondary 57T99.
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| Published Date | 2026-01
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| Publication Title |
Mathematical Journal of Okayama University
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| Volume | volume68
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| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
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| Start Page | 89
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| End Page | 111
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Copyright ©2026 by the Editorial Board of Mathematical Journal of Okayama University
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| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol68/iss1/5
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