From Crossref journal articles via Jisc Publications RouterHistory: epub 2021-02-25, issued 2021-02-25In this work, we extend an established isomorphism between group rings and a subring of the [Formula: see text] matrices. This extension allows us to construct more complex matrices over the ring [Formula: see text] We present many interesting examples of complex matrices constructed directly from our extension. We also show that some of the matrices used in the literature before can be obtained by a direct application of our extended isomorphism
Abstract. We describe all possible ways how a ring can be expressed as the union of three of its pro...
We consider realization and isomorphism problems for formal matrix rings over a given ring. Principa...
AbstractNoncommutative ring theory was described in terms of matrices in its earliest days; we give ...
From Crossref journal articles via Jisc Publications RouterHistory: epub 2021-02-25, issued 2021-02-...
Electronic version of an article published as International Journal of Algebra and Computation, Volu...
© 2015, Pleiades Publishing, Ltd. We study the isomorphism problem for formal matrix rings and obtai...
An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrice...
Recently, there has been a significant interest in the combinatorial prop-erties the ring of n × n m...
AbstractWe call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠...
Abstract. Simple rings with a one-sided minimal ideal may be represented as Rees matrix rings, and c...
Algorithms to decide isomorphism of modules have been honed continually over the last 30 years, and ...
© 2017, Allerton Press, Inc. Abstract—In a paper published in 2008 P. A. Krylov showed that formal m...
Two matrices over an arbitrary semiring are R-related if their column spaces are equal and are L-rel...
AbstractThe internal characterization of a structural matrix ring in terms of a set of matrix units ...
© Allerton Press, Inc., 2015. We consider a problem on isomorphism of rings of formal matrices of or...
Abstract. We describe all possible ways how a ring can be expressed as the union of three of its pro...
We consider realization and isomorphism problems for formal matrix rings over a given ring. Principa...
AbstractNoncommutative ring theory was described in terms of matrices in its earliest days; we give ...
From Crossref journal articles via Jisc Publications RouterHistory: epub 2021-02-25, issued 2021-02-...
Electronic version of an article published as International Journal of Algebra and Computation, Volu...
© 2015, Pleiades Publishing, Ltd. We study the isomorphism problem for formal matrix rings and obtai...
An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrice...
Recently, there has been a significant interest in the combinatorial prop-erties the ring of n × n m...
AbstractWe call a ring strongly indecomposable if it cannot be represented as a non-trivial (i.e. M≠...
Abstract. Simple rings with a one-sided minimal ideal may be represented as Rees matrix rings, and c...
Algorithms to decide isomorphism of modules have been honed continually over the last 30 years, and ...
© 2017, Allerton Press, Inc. Abstract—In a paper published in 2008 P. A. Krylov showed that formal m...
Two matrices over an arbitrary semiring are R-related if their column spaces are equal and are L-rel...
AbstractThe internal characterization of a structural matrix ring in terms of a set of matrix units ...
© Allerton Press, Inc., 2015. We consider a problem on isomorphism of rings of formal matrices of or...
Abstract. We describe all possible ways how a ring can be expressed as the union of three of its pro...
We consider realization and isomorphism problems for formal matrix rings over a given ring. Principa...
AbstractNoncommutative ring theory was described in terms of matrices in its earliest days; we give ...