Intermediate rings between matrix rings and Ornstein dual pairs

2000 ◽  
Vol 75 (4) ◽  
pp. 256-263 ◽  
Author(s):  
�. del R�o ◽  
J. J. Simo?
Keyword(s):  
Dual Pairs ◽  
Matrix Rings

scholarly journals Relating properties of a ring with properties of matrix rings coming from Ornstein dual pairs

2003 ◽  
Vol 264 (1) ◽  
pp. 199-210
Author(s):  
Claudi Busqué ◽  
Juan Jacobo Simón
Keyword(s):  
Dual Pairs ◽  
Matrix Rings

scholarly journals Functional identities on upper triangular matrix rings

2020 ◽  
Vol 18 (1) ◽  
pp. 182-193
Author(s):  
He Yuan ◽  
Liangyun Chen
Keyword(s):  
Triangular Matrix ◽  
Matrix Rings ◽  
Unital Ring ◽  
Functional Identities ◽  
Upper Triangular Matrix ◽  
Free Subset

Abstract 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), $\begin{array}{} t_{ll}' \end{array} $ = t, l = 1, 2, …, n, for any n ∈ N.

On feckly polar rings

2019 ◽  
Vol 18 (02) ◽  
pp. 1950021
Author(s):  
Tugce Pekacar Calci ◽  
Huanyin Chen
Keyword(s):  
Triangular Matrix ◽  
Matrix Rings ◽  
Structure Theorems ◽  
Regular Rings

In this paper, we introduce a new notion which lies properly between strong [Formula: see text]-regularity and pseudopolarity. A ring [Formula: see text] is feckly polar if for any [Formula: see text] there exists [Formula: see text] such that [Formula: see text] Many structure theorems are proved. Further, we investigate feck polarity for triangular matrix and matrix rings. The relations among strongly [Formula: see text]-regular rings, pseudopolar rings and feckly polar rings are also obtained.

Recognition of matrix rings

1991 ◽  
Vol 19 (7) ◽  
pp. 2113-2124 ◽  
Author(s):  
J.C. ROBSON
Keyword(s):  
Matrix Rings

Explicit Solvability of Dual Pairs of Infinite Linear Programs

OPSEARCH ◽  
2005 ◽  
Vol 42 (3) ◽  
pp. 288-296
Author(s):  
K. C. Sivakumar ◽  
J. Mercy Swarna
Keyword(s):  
Linear Programs ◽  
Dual Pairs ◽  
Infinite Linear

Left Self Distributively Generated Structural Matrix Rings

2005 ◽  
Vol 33 (9) ◽  
pp. 2865-2877
Author(s):  
John A. Lewallen
Keyword(s):  
Matrix Rings ◽  
Structural Matrix
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