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Displaying 121 – 140 of 984

A cyclically pinched product of free groups which is not residually free.

F. Levin, G. Rosenberger, B. Baumslag (1993)

Mathematische Zeitschrift

A de Bruijn-type formula for enumerating patterns of partitions.

Dennis E. White (1977)

Aequationes mathematicae

A Dimension Theorem for Vectors Fixed by Unipotent Groups.

Jozsef Horvath (1990)

Mathematische Zeitschrift

A direct factor theorem for commutative group algebras

William Ullery (1992)

Commentationes Mathematicae Universitatis Carolinae

Suppose $F$ is a field of characteristic $p \neq 0$ and $H$ is a $p$ -primary abelian $A$ -group. It is shown that $H$ is a direct factor of the group of units of the group algebra $F H$ .

A double chain of coupled circuits in analogy with mechanical lattices.

Boyd, J.N., Raychowdhury, P.N. (1991)

International Journal of Mathematics and Mathematical Sciences

A dyadic view of rational convex sets

Gábor Czédli, Miklós Maróti, Anna B. Romanowska (2014)

Commentationes Mathematicae Universitatis Carolinae

Let $F$ be a subfield of the field $ℝ$ of real numbers. Equipped with the binary arithmetic mean operation, each convex subset $C$ of $F^{n}$ becomes a commutative binary mode, also called idempotent commutative medial (or entropic) groupoid. Let $C$ and $C^{'}$ be convex subsets of $F^{n}$ . Assume that they are of the same dimension and at least one of them is bounded, or $F$ is the field of all rational numbers. We prove that the corresponding idempotent commutative medial groupoids are isomorphic iff the affine space $F^{n}$ ...

A factorization of quasiorder hypergroups

Ivan Chajda, Šárka Hošková (2004)

Commentationes Mathematicae Universitatis Carolinae

The contribution is devoted to the question of the interchange of the construction of a quasiorder hypergroup from a quasiordered set and the factorization.

A Family of Bisimple Inverse Semigroups.

J.B. HICKEY (1975)

Semigroup forum

A family of critically finite maps with symmetry.

Scott Crass (2005)

Publicacions Matemàtiques

The symmetric group Sn acts as a reflection group on CPn-2 (for n>=3).Associated with each of the (n2) transpositions in Sn is an involution on CPn-2 that pointwise fixes a hyperplane -the mirrors of the action. For each such action, there is a unique Sn-symmetric holomorphic map of degree n+1 whose critical set is precisely the collection of hyperplanes. Since the map preserves each reflecting hyperplane, the members of this family are critically-finite in a very strong sense. Considerations...

A family of totally ordered groups with some special properties

Elena Olivos (2005)

Annales mathématiques Blaise Pascal

Let $K$ be a field with a Krull valuation $| |$ and value group $G \neq {1}$ , and let $B_{K}$ be the valuation ring. Theories about spaces of countable type and Hilbert-like spaces in [1] and spaces of continuous linear operators in [2] require that all absolutely convex subsets of the base field $K$ should be countably generated as $B_{K}$ -modules.By [1] Prop. 1.4.1, the field $K$ is metrizable if and only if the value group $G$ has a cofinal sequence. We prove that for any fixed cardinality $ℵ_{κ}$ , there exists a metrizable field $K$ ...