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ℳ-rank and meager groups

Ludomir Newelski (1996)

Fundamenta Mathematicae

Assume p* is a meager type in a superstable theory T. We investigate definability properties of p*-closure. We prove that if T has < 2 0 countable models then the multiplicity rank ℳ of every type p is finite. We improve Saffe’s conjecture.

[unknown]

О.Г. Харлампович (1987)

Algebra i Logika

[unknown]

Indranil Biswas, Carlos Florentino (0)

Annales de l’institut Fourier

[unknown]

Nariya Kawazumi, Yusuke Kuno (0)

Annales de l’institut Fourier

[unknown]

Pierre-Emmanuel Caprace, David Hume (0)

Annales de l’institut Fourier

[unknown]

Ilia Smilga (0)

Annales de l’institut Fourier

[unknown]

Marc Bourdon (0)

Annales de l’institut Fourier

[unknown]

Klaus Denecke, Jörg Koppitz, Nittiya Pabhapote (2008)

Discussiones Mathematicae - General Algebra and Applications

A regular hypersubstitution is a mapping which takes every n i -ary operation symbol to an n i -ary term. A variety is called regular-solid if it contains all algebras derived by regular hypersubstitutions. We determine the greatest regular-solid variety of semigroups. This result will be used to give a new proof for the equational description of the greatest solid variety of semigroups. We show that every variety of semigroups which is finitely based by hyperidentities is also finitely based by identities....

Currently displaying 41 – 60 of 1690