Results 61 to 70 of about 3,245 (221)
Global dimension of dg algebras via compact silting objects
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We introduce a notion of global dimension for a triangulated category relative to a compact silting object. We prove that the finiteness of this dimension is an intrinsic property of the triangulated category itself and, therefore, independent of the choice of the silting object.
Panagiotis Kostas
wiley +1 more source
Rings with transitive chaining of idempotents
, 2023 International audienceWe prove that transitivity of strong or weak 2-chaining of idempotents is equivalent to centrality of idempotents modulo the Jacobson ...
Mary, Xavier
core +1 more source
A note on rings which are multiplicatively generated by idempotents and nilpotents
International Journal of Mathematics and Mathematical Sciences, 1988 We give the structure of certain rings which are multiplicatively generated by nilpotents or multiplicatively generated by idempotents and nilpotents.
Hazar Abu-Khuzam
doaj +1 more source
Various notions of module amenability on weighted semigroup algebras
Demonstratio Mathematica, 2022 Let SS be an inverse semigroup with the set of idempotents EE. In this article, we find necessary and sufficient conditions for the weighted semigroup algebra l1(S,ω){l}^{1}\left(S,\omega ) to be module approximately amenable (contractible) and module ...
Bodaghi Abasalt, Tanha Somaye Grailoo
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Математичні Студії, 2021 We investigate a few special decompositions in arbitrary rings and matrix rings over indecomposable rings into nilpotent and idempotent elements. Moreover, we also define and study the nilpotent sum trace number of nilpotent matrices over an arbitrary ...
P.V. Danchev
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Transitivity of mutation of τ$\tau$‐exceptional sequences in the τ$\tau$‐tilting finite case
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We prove that mutation of complete τ$\tau$‐exceptional sequences is transitive for τ$\tau$‐tilting finite algebras.
Aslak B. Buan +2 more
wiley +1 more source
On maps sending rank-κ idempotents to idempotents
Operators and Matrices, 2019 Summary: We characterize bijective linear maps on complex-valued \(n\times n\) matrices such that rank-\( \kappa\) idempotents are mapped to idempotents, where \(2 \leqslant \kappa < n - 1\).
openaire +2 more sources
Amitsur's theorem, semicentral idempotents, and additively idempotent semirings
Open MathematicsThe article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
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Groups having unique faithful irreducible Q-representation
Ratio MathematicaIn this paper, we give few sufficient conditions for finite p-group to have unique NEW (i.e faithful irreducible) Q-representation. As a consequence of these conditions we will prove that any finite p-group of nilpotency class 2 has atmost one NEW Q ...
Vikas Jadhav
doaj +1 more source
The Group Inverse of the Combinations of Two Idempotent Operators
Abstract and Applied Analysis, 2013 We present some inverses and group inverses results for linear combinations of two idempotents and their products.
Shunqin Wang, Chunyuan Deng
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