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Simultaneously reflective and coreflective subcategories of presheaves.

El Bashir, Robert; Velebil, Jiří — 2002

Theory and Applications of Categories [electronic only]

On functors which are lax epimorphisms.

Adámek, Jir̆í; El Bashir, Robert; Sobral, Manuela; Jir̆í, Velebil — 2001

Theory and Applications of Categories [electronic only]

A new proof of Prüfer's theorem

Robert El Bashir — 1993

Acta Universitatis Carolinae. Mathematica et Physica

Modules commuting (via Hom) with some limits

Robert El Bashir; Tomáš Kepka — 1998

Fundamenta Mathematicae

For every module M we have a natural monomorphism $Φ : ∐_{i \in I} H o m_{R} (A_{i}, M) \to H o m_{R} (\prod_{i \in I} A_{i}, M)$ and we focus attention on the case when Φ is also an epimorphism. The corresponding modules M depend on thickness of the cardinal number card(I). Some other limits are also considered.

Commutative zeropotent semigroups with few invariant congruences

Robert El Bashir; Tomáš Kepka — 2008

Czechoslovak Mathematical Journal

Commutative semigroups satisfying the equation $2 x + y = 2 x$ and having only two $G$ -invariant congruences for an automorphism group $G$ are considered. Some classes of these semigroups are characterized and some other examples are constructed.

Quasitrivial left distributive groupoids

Robert El Bashir; Aleš Drápal — 1994

Commentationes Mathematicae Universitatis Carolinae

Left distributive quasitrivial groupoids are completely described and those of them which are subdirectly irreducible are found. There are also determined all left distributive algebras $A = A (*, \circ)$ such that $A (*)$ is a quasitrivial groupoid.

Notes on slender prime rings

Robert El Bashir; Tomáš Kepka — 1996

Commentationes Mathematicae Universitatis Carolinae

If $R$ is a prime ring such that $R$ is not completely reducible and the additive group $R (+)$ is not complete, then $R$ is slender.

Simple zeropotent paramedial groupoids are balanced

Robert El Bashir; Jaroslav Ježek; Tomáš Kepka — 2000

Czechoslovak Mathematical Journal

This short note is a continuation of and and its purpose is to show that every simple zeropotent paramedial groupoid containing at least three elements is strongly balanced in the sense of .

Modules commuting (via Hom) with some colimits

Robert El Bashir; Tomáš Kepka; Petr Němec — 2003

Czechoslovak Mathematical Journal

For every module $M$ we have a natural monomorphism $Ψ : \underset{i \in I}{∐} {H o m}_{R} (M, A_{i}) \to {H o m}_{R} (M, \underset{i \in I}{∐} A_{i})$ and we focus our attention on the case when $Ψ$ is also an epimorphism. Some other colimits are also considered.

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Currently displaying 1 – 12 of 12

Simultaneously reflective and coreflective subcategories of presheaves.

On functors which are lax epimorphisms.

A new proof of Prüfer's theorem

Modules commuting (via Hom) with some limits

Commutative zeropotent semigroups with few invariant congruences

Quasitrivial left distributive groupoids

Notes on slender prime rings

Simple zeropotent paramedial groupoids are balanced

Modules commuting (via Hom) with some colimits

Commutative semigroups with few fully invariant congruences II.

Commutative semigroups with few fully invariant congruences I.

Dually steady rings