Results 21 to 30 of about 120,594 (244)
New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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From free abelian groups to free abelian ℓ-groups
Mathematica Slovaca, 2011 Abstract For each n, the free abelian group F on countably many free generators will be equipped with a monoid P n making (F,P n) into the free n-generator abelian ℓ-group. This is a generalization of the main result of the second author, published in the J. Pure Appl.
MUNDICI, DANIELE, J. Kuehr
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Intuitionistic Free Abelian Groups
Mathematical Logic Quarterly, 1988 The paper provides an intuitionistic construction of free abelian groups over arbitrary sets. It shows that a subgroup of a free abelian group is not necessarily itself free abelian, and that \(''free=projective''\Rightarrow full\) AC, for abelian groups. The paper uses Kripke models. The second part deals with the conditions for admitting an apartness
Dalen, D. van, Vries, F.-J. de
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On Some Results of a Torsion-Free Abelian Kernel Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
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Confinement in 4D: An Attempt at Classical Understanding
Universe, 2021 In this review, we revisit our approach to constructing an effective theory for Abelian and Non-Abelian gauge theories in 4D. Our goal is to have an effective theory that provides a simple classical picture of the main qualitatively important features of
Ibrahim Burak Ilhan, Alex Kovner
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Rocky Mountain Journal of Mathematics, 2002 An Abelian group \(A\) is \(M\)-free with basis \(X\) if \(X\) is a subset of \(A\) such that every map from \(X\) to the Abelian group \(M\) extends uniquely to a homomorphism from \(A\) to \(M\). Examples are split-\(M\)-free groups which are direct sums of the free group with basis \(X\) and a group which has only the zero homomorphism into \(M ...
Dugas, Manfred +2 more
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On Some Results of a Torsion-Free Abelian Trace Group
Recoletos Multidisciplinary Research Journal, 2014 In [6], givenany torsion-free abelian groups Gand H, the pure trace of Hin Gis *,:,GHHomfHfGHtr which is equivalent to the set ZnGHHomfHfngGgsomefor ,,:.The pure trace GHtr, is a pure fully invariant subgroup of G.
Ricky B. Villeta
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Diophantine problems in solvable groups [PDF]
Bulletin of Mathematical Sciences, 2020 We study the Diophantine problem (decidability of finite systems of equations) in different classes of finitely generated solvable groups (nilpotent, polycyclic, metabelian, free solvable, etc.), which satisfy some natural “non-commutativity” conditions.
Albert Garreta +2 more
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On groups and counter automata [PDF]
, 2006 We study finitely generated groups whose word problems are accepted by counter automata. We show that a group has word problem accepted by a blind n-counter automaton in the sense of Greibach if and only if it is virtually free abelian of rank n; this ...
Dixon J. D. +8 more
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Discussiones Mathematicae - General Algebra and Applications, 2017 It is studied how rank two pure subgroups of a torsion-free Abelian group of rank three influences its structure and type set. In particular, the criterion for such a subgroup B to be a direct summand of a torsion-free Abelian group of rank three with ...
Najafizadeh Alireza, Woronowicz Mateusz
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