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This article is cited in 1 scientific paper (total in 1 paper)
Monoids All Polygons Over Which Are $\omega$-Stable: Proof of the Mustafin – Poizat Conjecture
A. A. Stepanova
Abstract:
A monoid $S$ is called an $\omega$-stabilizer (superstabilizer, or stabilizer) if every $S$-polygon has an $\omega$-stable (superstable, or stable) theory. It is proved that every $\omega$-stabilizer is a regular monoid. This confirms the Mustafin – Poizat conjecture and allows us to end up the description of $\omega$-stabilizers.
Keywords:
monoid, regular monoid, $\omega$-stabilizer, $\omega$-stable theory.
Received: 29.10.2001
Citation:
A. A. Stepanova, “Monoids All Polygons Over Which Are $\omega$-Stable: Proof of the Mustafin – Poizat Conjecture”, Algebra Logika, 41:2 (2002), 223–227; Algebra and Logic, 41:2 (2002), 124–126
Linking options:
https://www.mathnet.ru/eng/al181 https://www.mathnet.ru/eng/al/v41/i2/p223
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Abstract page: | 359 | Full-text PDF : | 114 | References: | 74 | First page: | 1 |
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