Generalized Module Homomorphisms of Triangular Matrix Rings of Order Three Open Science
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Let V n (R n) be the universal ring with respect to embeddings of the matrix ring R n into n× n
matrix rings over commutative rings. A construction and a representation is given for this …

SIMPLE MODULES OVER GENERALIZED MATRIX RINGS E. Yu. Yardykov UDC 512.553
Page 1 Journal of Mathematical Sciences, Vol. 154, No. 3, 2008 SIMPLE MODULES OVER …

Jordan homomorphisms of upper triangular matrix rings - ScienceDirect Skip to main contentSkip
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Abstract Let $\mathfrak {R} $ be a ring with identity $1 $ whose tripotents are only $-1$, $0 $,
and $1 $. It is characterized the structure of tripotents in $\mathcal {T}(\mathfrak {R}) $ which …

We call a ring strongly indecomposable if it cannot be represented as a non-trivial (ie M≠ 0)
generalized triangular matrix ring RM0S, for some rings R and S and some RS-bimodule …

DIFFERENTIAL POLYNOMIAL RINGS OF TRIANGULAR MATRIX RINGS Page 1 Bulletin of the
Iranian Mathematical Society Vol. 34 No. 2 (2008), pp 71-96. DIFFERENTIAL POLYNOMIAL …

A right module M is extending if every submodule is essential in a direct summand of M. In
this note, we obtain a characterization of the right extending generalized triangular matrix …

Let $ T=\biggl (\begin {matrix} A&0\\U&B\end {matrix}\biggr) $ be a formal triangular matrix
ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We first give some …

Matrix rings containing all diagonal matrices, over any coefficient ring R, correspond
bijectively to certain matrices whose entries are ideals of R. The characteristic property of …