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An indecomposable Banach space of continuous functions which has small density
(POLISH ACAD SCIENCES INST MATHEMATICS, 2009)
Using the method of forcing we construct a model for ZFC where CH does not hold and where there exists a connected compact topological space K of weight omega(1) < 2(omega) such that every operator on the Banach space of ...
Indecomposable and noncrossed product division algebras over function fields of smooth p-adic curves
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Z(p). This is done by defining an index preserving morphism s: Br(<(K(X))over cap>)` --> Br(K(X))` ...
Third homology of 'SL IND.2' and the indecomposable'K IND.3'
(SpringerNew York, 2015)
Indecomposability of free algebras in some subvarieties of residuated lattices and their bounded subreducts
(Springer Verlag Berlín, 2011-06)
In this paper, we show that free algebras in the variety of residuated lattices and some of its subvarieties are directly indecomposable and show, as a consequence, the direct indecomposability of free algebras for some ...
Third homology of 'SL IND.2' and the indecomposable 'K IND.3'
(SpringerNew York, 2015-12)
It is known that, for an infinite field F, the indecomposable part of 'K IND. 3' (F) and the third homology of S 'L IND. 2 '(F) are closely related. In fact, there is a canonical map α : 'H IND. 3' '(S 'L IND. 2'(F), Z) ...
O anel de GREEN da álgebra de TAFT
(Universidade Federal de Santa MariaBrasilMatemáticaUFSMPrograma de Pós-Graduação em MatemáticaCentro de Ciências Naturais e Exatas, 2019-06-28)
The aim of this work is to characterize the Green ring of Taft algebra, denoted by ��(�),
where � is a positive integer greater than 1 and � is a primitive root of unity of order
�. The Green ring, denoted ...
Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras
(Academic Press Inc Elsevier Science, 2021-11-20)
Given a sequence d~ = (d1, . . . , dk) of natural numbers, we consider
the Lie subalgebra h of gl(d, F), where d = d1 + · · · + dk and F is a field of
characteristic 0, generated by two block upper triangular matrices D ...
Free 2-step nilpotent Lie algebras and indecomposable representations
(Taylor & Francis, 2018-07)
Given an algebraically closed field F of characteristic 0 and an F-vector space V, let L(V) = V⊕Λ2(V) denote the free 2-step nilpotent Lie algebra associated to V. In this paper, we classify all uniserial representations ...
A non perverse Soergel bimodule in type A
(Elsevier, 2017)
A basic question concerning indecomposable Soergel bimodules is to understand their en-domorphism rings. In characteristic zero all degree-zero endomorphisms are isomorphisms (afact proved by Elias and the second author) ...
Representations of the super Jordan plane
(Springer International, 2017-08)
It is shown that the finite-dimensional simple representations of the superJordan plane B are one-dimensional. The indecomposable representations of dimension 2 and 3 of B are classified. Two families of indecomposable ...