scholarly journals Lattice of subalgebras in the finitely generated varieties of MV-algebras

2007 ◽  
Vol 307 (17-18) ◽  
pp. 2261-2275
Author(s):  
Bruno Teheux
Keyword(s):  
Finitely Generated ◽  
Lattice Of Subalgebras ◽  
Mv Algebras

scholarly journals The Chinese Remainder Theorem for Strongly Semisimple MV-Algebras and Lattice-Groups

2015 ◽  
Vol 65 (4) ◽  
Author(s):  
Vincenzo Marra
Keyword(s):  
Abelian Group ◽  
Chinese Remainder Theorem ◽  
Order Unit ◽  
Finitely Generated ◽  
Mv Algebra ◽  
Mv Algebras

AbstractAn MV-algebra (equivalently, a lattice-ordered Abelian group with a distinguished order unit) is strongly semisimple if all of its quotients modulo finitely generated congruences are semisimple. All MV-algebras satisfy a Chinese Remainder Theorem, as was first shown by Keimel four decades ago in the context of lattice-groups. In this note we prove that the Chinese Remainder Theorem admits a considerable strengthening for strongly semisimple structures.

scholarly journals Projectivity and unification in the varieties of locally finite monadic MV-algebras

10.29007/x7hf ◽  
2018 ◽  
Author(s):  
Antonio Di Nola ◽  
Revaz Grigolia ◽  
Giacomo Lenzi
Keyword(s):  
Finitely Generated ◽  
Locally Finite ◽  
Unification Type ◽  
Mv Algebras

A description of finitely generated free monadic MV-algebras anda characterization of projective monadic MV-algebras in locally finitevarieties is given. It is shown that unification type of locally finitevarieties is unitary.

Automorphisms of finite order of nilpotent groups II

2014 ◽  
Vol 51 (4) ◽  
pp. 547-555 ◽  
Author(s):  
B. Wehrfritz
Keyword(s):  
Nilpotent Group ◽  
Finite Order ◽  
Finite Index ◽  
Nilpotent Groups ◽  
Finitely Generated

Let G be a nilpotent group with finite abelian ranks (e.g. let G be a finitely generated nilpotent group) and suppose φ is an automorphism of G of finite order m. If γ and ψ denote the associated maps of G given by \documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\gamma :g \mapsto g^{ - 1} \cdot g\phi and \psi :g \mapsto g \cdot g\phi \cdot g\phi ^2 \cdots \cdot \cdot g\phi ^{m - 1} for g \in G,$$ \end{document} then Gγ · kerγ and Gψ · ker ψ are both very large in that they contain subgroups of finite index in G.

Collectives of Automata in Finitely Generated Groups

2020 ◽  
Vol 108 (5-6) ◽  
pp. 671-678
Author(s):  
D. V. Gusev ◽  
I. A. Ivanov-Pogodaev ◽  
A. Ya. Kanel-Belov
Keyword(s):  
Finitely Generated ◽  
Finitely Generated Groups

scholarly journals TEST IDEALS IN RINGS WITH FINITELY GENERATED ANTI-CANONICAL ALGEBRAS – CORRIGENDUM

2016 ◽  
Vol 17 (4) ◽  
pp. 979-980
Author(s):  
Alberto Chiecchio ◽  
Florian Enescu ◽  
Lance Edward Miller ◽  
Karl Schwede
Keyword(s):  
Finitely Generated
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