Graded Division Rings

Irina N.  Balaba; Alexander V.  Mikhalev

Graded Division Rings

Authors

Irina N. Balaba
Alexander V. Mikhalev

Keywords:

graded rings, graded division rings, endomorphism rings, semi-linear isomorphism

Abstract

In this paper the survey of the results concerning graded division rings is given. Even though that the graded division rings are not division rings in the usual sense the graded modules over graded division rings have properties similar to those of the linear spaces. We consider the properties of the graded linear spaces and graded rings of linear transformations, describe the isomorphisms and anti-isomorphism of graded rings of linear transformations.

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Published

05.03.2019

How to Cite

Balaba, I. N. ., & Mikhalev, A. V. . (2019). Graded Division Rings. Sarajevo Journal of Mathematics, 14(2), 167–174. Retrieved from https://sjm.anubih.ba/index.php/sjm/article/view/71