Supersimplicity and countable reducts of a unidimensional hypersimple theory

Ziv Shami

doi:10.4064/fm355-1-2017

Supersimplicity and countable reducts of a unidimensional hypersimple theory

Ziv Shami

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

תקציר

We show that a hypersimple unidimensional theory that, in the partial order of all countable reducts, has a club of reducts that are coordinatized in finite rank, is supersimple.

שפה מקורית	אנגלית
עמודים (מ-עד)	85-100
מספר עמודים	16
כתב עת	Fundamenta Mathematicae
כרך	239
מספר גיליון	1
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.4064/fm355-1-2017
סטטוס פרסום	פורסם - 2017

גישה למסמך

10.4064/fm355-1-2017

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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title = "Supersimplicity and countable reducts of a unidimensional hypersimple theory",

abstract = "We show that a hypersimple unidimensional theory that, in the partial order of all countable reducts, has a club of reducts that are coordinatized in finite rank, is supersimple.",

keywords = "Reduct, S-essentially 1-based, Supersimple, Unidimensional",

author = "Ziv Shami",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2017.",

year = "2017",

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AB - We show that a hypersimple unidimensional theory that, in the partial order of all countable reducts, has a club of reducts that are coordinatized in finite rank, is supersimple.

KW - Reduct

KW - S-essentially 1-based

KW - Supersimple

KW - Unidimensional

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Supersimplicity and countable reducts of a unidimensional hypersimple theory

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