Results 41 to 50 of about 52,191 (255)

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

On abelian subgroups of finitely generated metabelian groups

, 2013
In this note we introduce the class of $\mathcal H$-groups (or Hall groups) related to the class of $\mathcal B$-groups defined by Ph. Hall in 1950's. Establishing some basic properties of Hall groups we use them to obtain results concerning embeddings ...
Mikaelian, Vahagn H., Olshanskii, Alexander Yu.   +1 more
core   +1 more source

GROUPS WITH ABELIAN SYLOW SUBGROUPS [PDF]

Journal of the Australian Mathematical Society, 2009
AbstractFinite groups with abelian Sylow p-subgroups for certain primes p are characterized in terms of arithmetical properties of commutators.
openaire   +2 more sources

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
doaj   +1 more source

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

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

Abelian Groups that are unions of proper subgroups [PDF]

Bulletin of the Australian Mathematical Society, 1992
The abelian groups that can be written as a union of proper subgroups are characterised, all the ways that this can be done for a given group are indicated, and the minimal number of subgroups necessary for such a decomposition of a given group is determined.
Bhaskara Rao, K. P. S., Reid, J. D.
openaire   +2 more sources

Aggregation and the Structure of Value

Noûs, EarlyView.
ABSTRACT Roughly, the view I call “Additivism” sums up value across time and people. Given some standard assumptions, I show that Additivism follows from two principles. The first says that how lives align in time cannot, in itself, matter. The second says, roughly, that a world cannot be better unless it is better within some period or another.
Weng Kin San
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