ABSTRACT A∗-ring R is called∗-regular if every principal one-sided ideal of R is generated
by a projection. The paper is devoted to a study of∗-regularity of∗-rings. Basic properties …

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 …

Page 1 PURE AND APPLIED MATHEMATICS A Series of Monographs and Textbooks LINEAR
ALGEBRA OVER COMMUTATIVE RINGS Bernard R. McDonald Page 2 Linear Algebra Over …

We will show that every nilpotent element N in M n (D), the ring of square matrices over a
division ring, can be presented as a single commutator, that is, N= AB− BA for some matrices …

Recently ([1], Theorem 1;[2], Proposition 2;[3], Theorem 3.4;[4], p. 57, prob. 7) several
authors have shown that if R is a ring containing a unit, and Rn, the ring of n• n matrices over …

A NOTE ON INTERMEDIATE MATRIX RINGS ] Page 1 Far East Journal of Mathematical
Education © 2017 Pushpa Publishing House, Allahabad, India http://www.pphmj.com http://dx.doi.org/10.17654/ME017040227 …

This paper investigates the ring-theoretic similarities and the categorical dissimilarities
between the ring $ RFM (R) $ of row finite matrices and the ring $ RCFM (R) $ of row and …

In this paper, we state a generalization of the ring of integer-valued polynomials over upper
triangular matrix rings. The set of integer-valued polynomials over some block matrix rings is …

In this paper, we invoke theory of generalized inverses and minus partial order on regular
matrices over a commutative ring to define rankâfunction for regular matrices and …

In this paper, it is shown that the Boolean ring of a commutative ring is isomorphic to the ring
of clopens of its prime spectrum. In particular, Stone's Representation Theorem is …