Results 1 to 10 of about 244 (19)
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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On twists of modules over non-commutative Iwasawa algebras [PDF]
, 2015 It is well known that, for any finitely generated torsion module M over the Iwasawa algebra Z_p [[{\Gamma} ]], where {\Gamma} is isomorphic to Z_p, there exists a continuous p-adic character {\rho} of {\Gamma} such that, for every open subgroup U of ...
Jha, Somnath +2 more
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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
wiley +1 more source
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
wiley +1 more source
The converse of Schur's Lemma in group rings [PDF]
, 2006 In this paper, we study the structure of group rings by means of endomorphism rings of their modules. The main tools used here, are the subrings fixed by automorphisms and the converse of Schur's lemma.
Alaoui, M., Haily, A.
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Subrings which are closed with respect to taking the inverse
, 2007 Let S be a subring of the ring R. We investigate the question of whether S intersected by U(R) is equal to U(S) holds for the units. In many situations our answer is positive.
Szigeti, Jeno, van Wyk, Leon
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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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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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Extensions of Simple Modules and the Converse of Schur's Lemma
, 2009 The converse of Schur's lemma (or CSL) condition on a module category has been the subject of considerable study in recent years. In this note we extend that work by developing basic properties of module categories in which the CSL condition governs ...
Marks, Greg, Schmidmeier, Markus
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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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