Results 11 to 19 of about 244 (19)
Instances of the Kaplansky-Lvov multilinear conjecture for polynomials of degree three
, 2016 Given a positive integer d, the Kaplansky-Lvov conjecture states that the set of values of a multilinear noncommutative polynomial f on the matrix algebra M_d(C) is a vector subspace.
Dykema, Kenneth J., Klep, Igor
core +1 more source
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
doaj +1 more source
Tilting Modules Under Special Base Changes
, 2018 Given a non-unit, non-zero-divisor, central element $x$ of a ring $\Lambda$, it is well known that many properties or invariants of $\Lambda$ determine, and are determined by, those of $\Lambda / x \Lambda$ and $\Lambda_x$.
Moradifar, Pooyan +2 more
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On the Nilpotency in Matrix Algebras with Grassmann Entries [PDF]
, 2012 2010 Mathematics Subject Classification: 16R10, 15A75, 16S50.In the paper we consider some classes of subalgebras of Mn(E) (for a given n and any n) for E being the Grassmann algebra. We give an estimation of the index of nilpotency of the commutators of
Rashkova, Tsetska
core
Classification of certain types of maximal matrix subalgebras
, 2017 Let $M_n(K)$ denote the algebra of $n \times n$ matrices over a field $K$ of characteristic zero. A nonunital subalgebra $N \subset M_n(K)$ will be called a nonunital intersection if $N$ is the intersection of two unital subalgebras of $M_n(K ...
Eggers, John, Evans, Ron, Van Veen, Mark
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Characterizing Jordan derivations of matrix rings through zero products [PDF]
, 2013 Let $\Mn$ be the ring of all $n \times n$ matrices over a unital ring $\mathcal{R}$, let $\mathcal{M}$ be a 2-torsion free unital $\Mn$-bimodule and let $D:\Mn\rightarrow \mathcal{M}$ be an additive map. We prove that if $D(\A)\B+ \A D(\B)+D(\B)\A+ \B D(\
Ghahramani, Hoger
core
Prime Structures in a Morita Context
, 2018 In this paper, we study on the primeness and semiprimeness of a Morita context related to the rings and modules. Necessary and sufficient conditions are investigated for an ideal of a Morita context to be a prime ideal and a semiprime ideal.
Calci, Mete Burak +3 more
core
Poster Abstracts - Academy of Managed Care Pharmacy Virtual 2021. [PDF]
J Manag Care Spec Pharm, 2021 europepmc +1 more source