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On the fine spectrum of triangular triple-band matrix over sequence spaces $c$ and $\ell_{p}$, $(0
, 2015 Ali Karaisa +2 more
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On Skew Triangular Matrix Rings
Algebra Colloquium, 2015Let R be a ring with an endomorphism σ. We show that the clean property and various Armendariz-type properties of R are inherited by the skew matrix rings S(R,n,σ) and T(R,n,σ). They allow the construction of rings with a non-zero nilpotent ideal of arbitrary index of nilpotency which inherit various interesting properties of rings.
Habibi, M., Moussavi, A., Alhevaz, A.
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Triangular Matrix Representations and Triangular Matrix Extensions
2013In this chapter, generalized triangular matrix representations are discussed by introducing the concept of a set of left triangulating idempotents. A criterion for a ring with a complete set of triangulating idempotents to be quasi-Baer is provided.
Gary F. Birkenmeier +2 more
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Resonance, 2000
Radha Mohan received her PhD from Purdue University in 1995. Her research interests are in commutative algebra. She is currently at St. Stephen's College, Delhi. Two ideas tha t pervade all of mathemat ics are equivalence, and the related notion of reduction.
Rajendra Bhatia, Radha Mohan
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Radha Mohan received her PhD from Purdue University in 1995. Her research interests are in commutative algebra. She is currently at St. Stephen's College, Delhi. Two ideas tha t pervade all of mathemat ics are equivalence, and the related notion of reduction.
Rajendra Bhatia, Radha Mohan
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Piecewise Hereditary Triangular Matrix Algebras
Algebra Colloquium, 2021For any positive integer [Formula: see text], we clearly describe all finite-dimensional algebras [Formula: see text] such that the upper triangular matrix algebras [Formula: see text] are piecewise hereditary. Consequently, we describe all finite-dimensional algebras [Formula: see text] such that their derived categories of [Formula: see text ...
Yiyu Li, Ming Lu
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TRIANGULAR MATRIX REPRESENTATIONS OF SEMIPRIMARY RINGS
Journal of Algebra and Its Applications, 2002In 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. Also we show that the class of semiprimary quasi-Baer rings is a proper subclass of the class of TSA rings.
Birkenmeier, Gary F. +2 more
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On ideals of triangular matrix rings
Periodica Mathematica Hungarica, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meyer, Johan +2 more
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Graded Involutions on Upper-triangular Matrix Algebras
Algebra Colloquium, 2009Let UTn be the algebra of n × n upper-triangular matrices over an algebraically closed field of characteristic zero. We describe all G-gradings on UTn by a finite abelian group G commuting with an involution (involution gradings).
VALENTI, Angela, ZAICEV MV
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On Continuous Triangularization of Matrix Functions
SIAM Journal on Mathematical Analysis, 1979This article is concerned with the continuous triangularization of matrix functions which depend continuously on several variables. By use of an algorithm analogous to the one employed for the reduction of a $\lambda $-matrix to a diagonal form, we find a continuous similarity transformation which produces the triangularization of a given matrix.Let ...
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