[PDF][PDF] Modules over formal matrix rings

PA Krylov, AA Tuganbaev - J. Math. Sci, 2010 - academia.edu
This work contains some new and known results on modules over formal matrix rings. The
main results are presented with proofs. In ring theory, various matrix rings play an important …

[PDF][PDF] Formal matrices and their determinants

PA Krylov, AA Tuganbaev - Journal of Mathematical Sciences, 2015 - researchgate.net
In the present paper, we study formal matrix rings over a given ring and determinants of such
matrices. In Secs. 1–4, some general properties of formal matrix rings are presented. In …

A class of formal matrix rings

G Tang, Y Zhou - Linear Algebra and its Applications, 2013 - Elsevier
This paper concerns the formal matrix ring Mn (R; s) over a ring R defined by a central
element s in R. Various basic properties of these rings are established; the isomorphism …

Rings of quotients of generalized matrix rings

M Marianne - Communications in Algebra, 1987 - Taylor & Francis
The first section of this paper contains the definition and some properties of generalized
matrix rings. Stenstrom [9] and Sakano [6] computed the ma:~ imal ring of quotients of a …

Study of modules over formal triangular matrix rings

A Haghany, K Varadarajan - Journal of Pure and Applied Algebra, 2000 - Elsevier
In this paper we carry out a systematic study of modules over a formal triangular matrix ring
[Formula: see text] Using the alternative description of right T-modules as triples (X, Y) f with …

Study of formal triangular matrix rings

A Haghany, K Varadarajan - Communications in Algebra, 1999 - Taylor & Francis
In this paper we carry out a systematic study of various ring theoretic properties of formal
triangular matrix rings. Some definitive results are obtained on these rings concerning …

Radicals of structural matrix rings

AD Sands - Quaestiones Mathematicae, 1990 - Taylor & Francis
RADICALS OF STRUCTURAL MATRIX RINGS Page 1 Quaestiones Mathematicae - 13 (1990).
77-81 RADICALS OF STRIJ- MATRIX RINGS ADSands The concept of a structural matrix ring …

An internal characterisation of structural matrix rings

KC Smith, L Wyk - Communications in Algebra, 1994 - Taylor & Francis
It is known that structural matrix rings pro-vide a natural passage from complete matrix rings
to upper and lower triangular matrix rings, and they often explain the peculiarities regarding …

[PDF][PDF] On the representation theory of rings in matrix form.

EL Green - 1982 - projecteuclid.org
ON THE REPRESENTATION THEORY OF RINGS IN MATRIX FORM Page 1 PACIFIC
JOURNAL OF MATHEMATICS Vol. 100, No. 1, 1982 ON THE REPRESENTATION THEORY …

IBN and related properties for rings

A Haghany, K Varadarajan - Acta Mathematica Hungarica, 2002 - Springer
We first tackle certain basic questions concerning the Invariant Basis Number (IBN) property
and the universal stably finite factor ring of a direct product of a family of rings. We then …