scholarly journals On optimal Scott sentences of finitely generated algebraic structures

2018 ◽  
Vol 146 (10) ◽  
pp. 4473-4485 ◽  
Author(s):  
Matthew Harrison-Trainor ◽  
Meng-Che Ho
Keyword(s):  
Algebraic Structures ◽  
Finitely Generated ◽  
Scott Sentences

Finitely generated algebraic structures with various divisibility conditions

2012 ◽  
Vol 24 (2) ◽  
Author(s):  
Jaroslav Ježek ◽  
Vítězslav Kala ◽  
Tomáš Kepka
Keyword(s):  
Algebraic Structures ◽  
Finitely Generated

scholarly journals FINITELY GENERATED NIL BUT NOT NILPOTENT EVOLUTION ALGEBRAS

2013 ◽  
Vol 13 (01) ◽  
pp. 1350070 ◽  
Author(s):  
JIANJUN PAUL TIAN ◽  
YI MING ZOU
Keyword(s):  
Population Dynamics ◽  
Algebraic Structures ◽  
Finitely Generated ◽  
Model Population ◽  
Long Period ◽  
Nilpotent Elements

To use evolution algebras to model population dynamics that both allow extinction and introduction of certain gametes in finite generations, nilpotency must be built into the algebraic structures of these algebras with the entire algebras not to be nilpotent if the populations are assumed to evolve for a long period of time. To adequately address this need, evolution algebras over rings with nilpotent elements must be considered instead of evolution algebras over fields. This paper develops some criteria, which are computational in nature, about the nilpotency of these algebras, and shows how to construct finitely generated evolution algebras which are nil but not nilpotent.

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.

SOME ALGEBRAIC STRUCTURES ON MAX-MAX, MIN-MIN COMPOSITIONS OVER INTUITIONISTIC FUZZY MATRICES

2020 ◽  
Vol 9 (8) ◽  
pp. 5683-5691
Author(s):  
T. Muthuraji ◽  
K. Lalitha
Keyword(s):  
Algebraic Structures ◽  
Intuitionistic Fuzzy

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

Projectivity of finitely generated flat modules over semilocal rings

1985 ◽  
Vol 37 (2) ◽  
pp. 85-90
Author(s):  
I. I. Sakhaev
Keyword(s):  
Finitely Generated ◽  
Flat Modules

Primitivity in representations of polycyclic groups

1980 ◽  
Vol 88 (1) ◽  
pp. 15-31 ◽  
Author(s):  
D. L. Harper
Keyword(s):  
Finite Group ◽  
Irreducible Representation ◽  
Nilpotent Group ◽  
Infinite Dimension ◽  
Finitely Generated ◽  
Polycyclic Groups

In an earlier paper (5) we showed that a finitely generated nilpotent group which is not abelian-by-finite has a primitive irreducible representation of infinite dimension over any non-absolute field. Here we are concerned primarily with the converse question: Suppose that G is a polycyclic-by-finite group with such a representation, then what can be said about G?

scholarly journals On generic complexity of theories of finite algebraic structures

2021 ◽  
Vol 1901 (1) ◽  
pp. 012046
Author(s):  
Alexander Rybalov
Keyword(s):  
Algebraic Structures ◽  
Generic Complexity
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