Results 31 to 40 of about 544 (187)

Green’s relations for 2 × 2 matrices over linearly ordered abelian groups [PDF]

Proceedings of the Estonian Academy of Sciences
We consider semigroups of 2 × 2 matrices over linearly ordered abelian groups with respect to multiplication, which is defined similarly to tropical algebra. We study Green’s relations on such semigroups.
Marilyn Kutti, Valdis Laan
doaj   +1 more source

Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups

Математичні Студії
In the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
doaj   +1 more source

Pinned-flags of some operations on fuzzy subgroups

International Journal of Mathematics and Mathematical Sciences, 2005
Fuzzy subgroups of finite groups have been treated recently using the concept of pinned-flags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of ...
B. B. Makamba, V. Murali
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When the intrinsic algebraic entropy is not really intrinsic

Topological Algebra and its Applications, 2015
The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups.
Goldsmith Brendan, Salce Luigi
doaj   +1 more source

On the additive image of zeroth persistent homology

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer, Magnus B. Botnan, Steffen Oppermann, Johan Steen   +3 more
wiley   +1 more source

Minimal non-abelian groups with an average condition on subgroups [PDF]

Journal of Mahani Mathematical Research
For a finite group $G$, the average order   $o(G)$   is defined to be the average of all order elements in $G$. We say that $G$ satisfies the average condition if $o(H)\leq o(G)$ for all subgroups $H$ of $G$.
Bijan Taeri, Ziba Tooshmalani
doaj   +1 more source

A Distinguished Subgroup of Compact Abelian Groups

Axioms, 2022
Here “group” means additive abelian group. A compact group G contains δ–subgroups, that is, compact totally disconnected subgroups Δ such that G/Δ is a torus. The canonical subgroup Δ(G) of G that is the sum of all δ–subgroups of G turns out to have striking properties. Lewis, Loth and Mader obtained a comprehensive description of Δ(G) when considering
Dikran Dikranjan, Wayne Lewis, Peter Loth, Adolf Mader   +3 more
openaire   +3 more sources

Rational points on even‐dimensional Fermat cubics

Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

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, Alexei Miasnikov, Denis Ovchinnikov   +2 more
doaj   +1 more source

Balanced subgroups of abelian groups [PDF]

Transactions of the American Mathematical Society, 1975
The balanced subgroups of Fuchs are generalised to arbitrary abelian groups. Projectives and injectives with respect to general balanced exact sequences are classified; a new class of groups is introduced in order to classify these projectives.
openaire   +3 more sources