# On FGS-Duo-Rings

## Related Articles

- 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.

- Definable sets in automorphism groups of rational order. Morozov, A. // Algebra & Logic;Mar2008, Vol. 47 Issue 2, p125
The main result of the paper is describing all definable subsets in the group Aut

of all automorphisms of the natural ordering on the rational numbers, and also in groups of the form Aut I

, where I is a Turing ideal consisting of elements of Aut

whose Turing degree is...

- Elementary Equivalence of Categories of Modules and other Algebraic Structures. Bunina, E. I.; Mikhalev, A. V. // Journal of Mathematical Sciences;Dec2005, Vol. 131 Issue 5, p6004
This paper is a review of some recent results of elementary equivalence of linear and algebraic groups and our recent new results of elementary equivalence of categories of modules, endomorphism rings of modules, and automorphism groups of modules.

- Automorphisms of Terwilliger graphs with ï¿½ = 2. Gavrilyuk, A.; Guo, Wenbin; Makhnev, A. // Algebra & Logic;Sep2008, Vol. 47 Issue 5, p330
A description is furnished for automorphisms of prime order and subgraphs of their fixed points in distance-regular graphs with intersection arrays {50, 42, 1; 1, 2, 50} and {50, 42, 9; 1, 2, 42}. It is proved that these graphs cannot be vertex-transitive.

- On the Fourth PainlevÃ© Hierarchy. Kudryashov, N. A. // Theoretical & Mathematical Physics;Jan2003, Vol. 134 Issue 1, p86
We use the inverse monodromy transform to find the fourth PainlevÃ© hierarchy. The second and third members of this hierarchy are given. Special and rational solutions of the second and third members for the P4 hierarchy are discussed. We apply the PainlevÃ© test to the second member of the...

- A group matrix representation relevant to scales of measurement of clinical disease states via stratified vectors. Jitsuki Sawamura; Shigeru Morishita; Jun Ishigooka // Theoretical Biology & Medical Modelling;2/9/2016, Vol. 13, p1
Background: Previously, we applied basic group theory and related concepts to scales of measurement of clinical disease states and clinical findings (including laboratory data). To gain a more concrete comprehension, we here apply the concept of matrix representation, which was not explicitly...

- Determination of a class of countable-rank, torsion-free Abelian groups by their endomorphism rings. Blagoveshchenskaya, E. // Journal of Mathematical Sciences;Aug2008, Vol. 152 Issue 4, p469
Determination, up to near isomorphism, of countable-rank, block-rigid, local, almost completely decomposable groups of ring type with cyclic regulator quotient by their endomorphism rings in this class has been proved.

- Skew-Laurent rings over Ïƒ(*)-rings. Bhat, V. K. // European Journal of Pure & Applied Mathematics;2014, Vol. 7 Issue 4, p387
Let R be an associative ring with identity 1 â‰ 0, and a an endomorphism of R. We recall Ïƒ(*) property on R (i.e. aÏƒ(a) âˆŠ P(R) implies a âˆŠ P(R) for a âˆŠ R, where P(R) is the prime radical of R). Also recall that a ring R is said to be 2-primal if and only if P(R) and the...

- CORETRACTABLE MODULES. Amini, B.; Ershad, M.; Sharif, H. // Journal of the Australian Mathematical Society;Jun2009, Vol. 86 Issue 3, p289
An R-module M is called coretractable if HomR(M/K; M) â‰ 0 for any proper submodule K of M. In this paper we study coretractable modules and their endomorphism rings. It turns out that if all right R-modules are coretractable, then R is a right Kasch and (two-sided) perfect ring. However,...