Results 11 to 20 of about 3,388 (272)
TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS
Journal of Algebra and Its Applications, 2002 In this paper we characterize internally a TSA ring (i.e. a generalized triangular matrix ring with simple Artinian rings on the diagonal) in terms of its prime ideals.
GARY F. BIRKENMEIER +2 more
core +3 more sources
Skew polynomial rings of formal triangular matrix rings
Journal of Algebra, 2012 Let R, S be rings with unity and M be a unital (R,S)-bimodule. In this paper we give a description of homomorphisms and skew derivations of the formal triangular matrix ring T=(RM0S), and apply it to provide a triangular representation of the skew ...
Ghahramani, Hoger, Hoger Ghahramani
core +3 more sources
Triangular matrix representations of ring extensions
Journal of Algebra, 2003 In this paper we investigate the class of piecewise prime, PWP, rings which properly includes all piecewise domains (hence all right hereditary rings which are semiprimary or right Noetherian). For a PWP ring we determine a large class of ring extensions
Park, Jae Keol, Birkenmeier, Gary F.
core +3 more sources
Automorphism groups of generalized triangular matrix rings
Linear Algebra and its Applications, 2011 We call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠0) generalized triangular matrix ring RM0S, for some rings R and S and some R-S-bimodule RMS.
Ánh, P.N. +3 more
core +2 more sources
The 𝐾-theory of triangular matrix rings. II [PDF]
Proceedings of the American Mathematical Society, 1987 Let T T be the upper triangular matrix ring defined by a pair of rings R R and S S and an R − S R - S -bimodule M M . We use the QP definition
M. E. Keating
core +2 more sources
𝐾ᵢ of upper triangular matrix rings [PDF]
Proceedings of the American Mathematical Society, 1976 Standard techniques are used to compute K i ( i = 0 , 1 , 2 ) {K_i}(i = 0,1,2) of generalized triangular matrix rings.
Susan C. Geller, R. Keith Dennis
core +2 more sources
Jordan Derivations on Strictly Triangular Matrix Rings
Algebra Colloquium, 2011 For a lower nil-triangular matrix ring R = NT(n,K), we characterize its Jordan ...
Kuzucuoglu, FERİDE
core +2 more sources
Some results on triangular coefficient matrix rings [PDF]
Contributions to MathematicsIn this paper, we introduce the concept of a {\it triangular coefficient matrix ring} and investigate the structure of its ideals. We then characterize the radicals of the ring \( R_{h}[x]/\langle x^{n} \rangle \) for every positive integer \( n \), where \( R_{h}[x] \) denotes the Hurwitz polynomial ring and \( \langle x^{n} \rangle \) represents the ...
Peter Danchev +3 more
doaj +3 more sources
Strongly clean triangular matrix rings over local rings
Journal of Algebra, 2007 An element of a ring is called strongly clean if it can be written as the sum of a unit and an idempotent that commute. A ring is called strongly clean if each of its elements is strongly clean.
Borooah, Gautam +5 more
core +2 more sources
Universal localization of triangular matrix rings [PDF]
Proceedings of the American Mathematical Society, 2006 If R R is a triangular
openaire +3 more sources