Results 1 to 10 of about 36 (35)
Functional identities on upper triangular matrix rings
Open Mathematics, 2020 Let R be a subset of a unital ring Q such that 0 ∈ R. Let us fix an element t ∈ Q. If R is a (t; d)-free subset of Q, then Tn(R) is a (t′; d)-free subset of Tn(Q), where t′ ∈ Tn(Q), tll′$\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any ...
Yuan He, Chen Liangyun
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Minimum distances of error‐correcting codes in incidence rings
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 13, Page 827-833, 2003., 2003 The main theorem of this paper gives a formula for the largest minimum distance of error‐correcting codes considered as ideals in incidence rings defined by directed graphs.
A. V. Kelarev
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Isomorphism of generalized triangular matrix‐rings and recovery of tiles
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 9, Page 533-538, 2003., 2003 We prove an isomorphism theorem for generalized triangular matrix‐rings, over rings having only the idempotents 0and 1, in particular, over indecomposable commutative rings or over local rings (not necessarily commutative). As a consequence, we obtain a recovery result for the tile in a tiled matrix‐ring.
R. Khazal, S. Dăscălescu, L. Van Wyk
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On products of self-small abelian groups [PDF]
, 2015 An abelian group A is called self-small if direct sums of copies of A commute with the covariant Hom(A;-) functor. The paper presents an elementary example of a non-self-small countable product of self-small abelian groups without non-zero homomorphisms ...
DVOŘÁK, Josef
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Graphs from matrices - a survey
AKCE International Journal of Graphs and CombinatoricsLet R be a commutative ring with identity. For a positive integer [Formula: see text] let [Formula: see text] be the set of all n × n matrices over R and [Formula: see text] be the set of all non-zero matrices of [Formula: see text] The zero-divisor ...
T. Tamizh Chelvam
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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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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
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Journal of Law and Society, Volume 52, Issue 2, Page 181-203, June 2025.Abstract This article questions whether the twenty‐first‐century policing of rap music in England can be legitimized by reference to crime, or whether it is instead better interpreted as the policing of Black culture. Section 2 outlines the origins of rap and its policing, going on to explain why rap music should be interpreted as an art form.
AYUSH SANGHAVI
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Veterinary Dermatology, Volume 35, Issue 4, Page 418-431, August 2024.Background – Diagnosis of canine adverse food reactions (AFRs) is based on vague criteria, such as ‘>50% improvement’ during elimination diet trial (EDT) followed by ‘deterioration’ during provocation test (PT). Objective – The objective of the study was to use predefined criteria to evaluate response during EDT [i.e., Owner Global Assessment of ...
Evi I. Sofou +4 more
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Jordan left derivations in infinite matrix rings
Demonstratio MathematicaLet RR be a unital associative ring. Our motivation is to prove that left derivations in column finite matrix rings over RR are equal to zero and demonstrate that a left derivation d:T→Td:{\mathcal{T}}\to {\mathcal{T}} in the infinite upper triangular ...
Zhang Daochang +3 more
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