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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 ...
Homological finiteness properties of pro-p modules over metabelian pro-p groups
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2006)
FROM TRISECTIONS IN MODULE CATEGORIES TO QUASI-DIRECTED COMPONENTS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
In this paper, we define and study a special type of trisections in a module category, namely the compact trisections which characterize quasi-directed components. We apply this notion to the study of laura algebras and ...
Algebraic geometry of topological spaces I
(Institut Mittag-Leffler, 2012-09)
We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, ...
Algebras determined by their supports
(Elsevier Science BVAmsterdam, 2012)
In this paper, we introduce and study a class of algebras which we call ada algebras. An artin algebra is ada if every indecomposable projective and every indecomposable injective module lies in the union of the left and ...
A note on tilting sequences
(VERSITA, 2008)
We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.
Progress in Commutative Algebra 1. : Combinatorics and Homology
This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida ...
Non-Nilpotent Lie Algebras with Non-Singular Derivations
(Universidade Federal de Minas GeraisUFMG, 2018-03-08)
Let L be a Lie algebra and (..) be a derivation of L. The derivation (..) is non-singular if it is injective as linear transformation. By a well-known result of N. Jacobson, a Lie algebra of finite dimension over a field ...