Authors: Krylov, Petr Andreevich | Tuganbaev, Askar A. | Tsarev, A. V.

Source: Journal of mathematical sciences. 2021. Vol. 256, № 3. P. 278-298

Type: статьи в журналах

Date: 2021

Description: Using examples of modules and a number of familiar Abelian groups, we demonstrate the Kaplansky method of proving isomorphism theorems for endomorphism rings

Authors: Krylov, Petr Andreevich | Tuganbaev, Askar A. | Tsarev, A. V.

Source: Journal of mathematical sciences. 2021. Vol. 256, № 3. P. 341-361

Type: статьи в журналах

Date: 2021

Description: An associative ring R is called an E-ring if the canonical homomorphism R ∼= E(R+) is an isomorphism. Additive groups of E-rings are called E-groups. In other words, an Abelian group A is an E-group i ... More

Authors: Krylov, Petr Andreevich | Tuganbaev, Askar A.

Source: Journal of mathematical sciences. 2021. Vol. 258, № 2. P. 199-221

Type: статьи в журналах

Date: 2021

Description: This review paper is a continuation of two previous review papers devoted to properties of modules over discrete valuation domains. The first part of this work was published in the volumes 121 (Part I ... More

Authors: Krylov, Petr Andreevich | Tuganbaev, Askar A. | Tsarev, A. V.

Source: Journal of mathematical sciences. 2021. Vol. 256, № 3. P. 299-340

Type: статьи в журналах

Date: 2021

Description: p-Groups form an interesting and informative class of Abelian mixed groups. In this paper, we systematically study self-small sp-groups of finite rank and their endomorphism rings

Authors: Krylov, Petr Andreevich | Tuganbaev, Askar A.

Source: Journal of mathematical sciences. 2015. Vol. 211, № 3. P. 341-380

Type: статьи в журналах

Date: 2015

Description: In the present paper, we study formal matrix rings over a given ring and determinants of such matrices.

Authors: Krylov, Petr Andreevich | Tuganbaev, Askar A.

Source: Journal of mathematical sciences. 2012. Vol. 183, № 3. P. 383-396

Type: статьи в журналах

Date: 2012