# Multiplicative Mappings of Rings

## Related Articles

- A note on weakly clean rings. Chin, Angelina; Qua, K. // Acta Mathematica Hungarica;Jul2011, Vol. 132 Issue 1/2, p113
Let R be an associative ring with identity. An element xâˆˆ R is said to be weakly clean if x= u+ e or x= uâˆ’ e for some unit u and idempotent e in R. The ring R is said to be weakly clean if all of its elements are weakly clean. In this paper we obtain an element-wise characterization...

- On n-commuting and n-skew-commuting maps with generalized derivations in prime and semiprime rings. ur Rehman, N.; Filippis, V. // Siberian Mathematical Journal;May2011, Vol. 52 Issue 3, p516
Let R be a ring with center Z( R), let n be a fixed positive integer, and let I be a nonzero ideal of R. A mapping h: R â†’ R is called n- centralizing ( n-commuting) on a subset S of R if [ h( x), x] âˆˆ Z( R) ([ h( x), x] = 0 respectively) for all x âˆˆ S. The following are proved:

- On isomorphity of measure-preserving â„¤2-actions that have isomorphic Cartesian powers. Troitskaya, A. E. // Journal of Mathematical Sciences;Jun2009, Vol. 159 Issue 6, p879
Assume that Î” and Î are representations of the group â„¤2 by operators on the space L2( X, Î¼) that are induced by measure-preserving automorphisms, and for some d, the representations Î”â¨‚ d and Î â¨‚ d are conjugate to each other, Î”(â„¤2 \(0 , 0)) consists of...

- ON STRONG COMMUTATIVITY PRESERVING LIKE MAPS IN RINGS WITH INVOLUTION. ALI, SHAKIR; DAR, NADEEM AHMAD; KHAN, ABDUL NADIM // Miskolc Mathematical Notes;Sep2015, Vol. 16 Issue 1, p17
The main purpose of this paper is to prove the following result: Let R be a prime ring with involution of the second kind and with char(R) â‰ 2. If R admits a nonzero derivation d : R â†’ R such that [d(x),d(x*)]= [x,x*] for all x âˆŠ R, then R is commutative. We also provide an...

- APPLICATION OF ISOMORPHISM THEOREMS IN Î“-NEAR-RINGS. Yong Uk Cho // JP Journal of Algebra, Number Theory & Applications;Aug2014, Vol. 34 Issue 1, p39
In this paper, we derive some isomorphism properties of Î“-near-ring homomorphisms from the Fundamental Isomorphism Theorem and Second Isomorphism Theorem.

- Formal matrix rings and their isomorphisms. Abyzov, A.; Tapkin, D. // Siberian Mathematical Journal;Nov2015, Vol. 56 Issue 6, p955
We study the isomorphism problem for formal matrix rings and obtain the description of semiartinian formal matrix rings and the max-rings of formal matrices.

- Isomorphisms of general linear groups over associative rings graded by an Abelian group. Atkarskaya, A.; Bunina, E.; Mikhalev, A. // Journal of Mathematical Sciences;Sep2011, Vol. 177 Issue 6, p774
In this paper, we give a simpler proof of the Golubchik-Mikhalev-Zelmanov theorem on the structure of isomorphisms between general linear groups over associative rings, and also prove an extension of this theorem for linear groups over rings graded by an Abelian group.

- Automorphisms of endomorphism rings of a class of almost completely decomposable groups. Blagoveshchenskaya, E. A. // Journal of Mathematical Sciences;Sep2006, Vol. 137 Issue 6, p5192
For block-rigid almost completely decomposable groups X of ring type a description of automorphisms of their endomorphism rings is obtained and the group Aut(End X) for such groups X with cyclic regulator quotient is found on this basis.

- Polyvector representations of GLn. Vavilov, N.; Perelman, E. // Journal of Mathematical Sciences;Aug2007, Vol. 145 Issue 1, p4737
In the present paper, we characterize ?n( GL(n, R)) over any commutative ring R as the connected component of the stabilizer of the Plï¿½cker ideal. This folk theorem is classically known for algebraically closed fields and should also be well known in general. However, we are not aware of...