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Some Constructions of Extensions of Near-Rings. / Simonov, A. A.

In: Siberian Mathematical Journal, Vol. 67, No. 2, 28.03.2026, p. 364-371.

Research output: Contribution to journal › Article › peer-review

Harvard

Simonov, AA 2026, 'Some Constructions of Extensions of Near-Rings', Siberian Mathematical Journal, vol. 67, no. 2, pp. 364-371. https://doi.org/10.1134/S0037446626020102

APA

Simonov, A. A. (2026). Some Constructions of Extensions of Near-Rings. Siberian Mathematical Journal, 67(2), 364-371. https://doi.org/10.1134/S0037446626020102

Vancouver

Simonov AA. Some Constructions of Extensions of Near-Rings. Siberian Mathematical Journal. 2026 Mar 28;67(2):364-371. doi: 10.1134/S0037446626020102

Author

Simonov, A. A. / Some Constructions of Extensions of Near-Rings. In: Siberian Mathematical Journal. 2026 ; Vol. 67, No. 2. pp. 364-371.

BibTeX

@article{8385ee3877d2440892c9f4d3194b41cf,
title = "Some Constructions of Extensions of Near-Rings",
abstract = "Near-rings associated with restricted sharply -transitive groups are studied.Constructions of extensions of near-rings by means of biodules, bimodules, and -pseudofields are presented.A scheme for doubling the dimension of near-rings is proposed.Examples of near-rings with nonabelian additive groups are given.",
keywords = "-pseudofield, 512.7+512.548, field, loop, module, near-ring, odule, restricted sharply -transitive group, ring, поле, кольцо, почти-кольцо, 2-псевдополе, ограниченно строго 2-транзитивная группа, модуль, одуль, лупа",
author = "Simonov, {A. A.}",
note = "Simonov, A. A. Some Constructions of Extensions of Near-Rings / A. A. Simonov // Siberian Mathematical Journal. – 2026. – Vol. 67, No. 2. – P. 364-371. – DOI 10.1134/S0037446626020102. – EDN YRLMVO.",
year = "2026",
month = mar,
day = "28",
doi = "10.1134/S0037446626020102",
language = "English",
volume = "67",
pages = "364--371",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Pleiades Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Some Constructions of Extensions of Near-Rings

AU - Simonov, A. A.

N1 - Simonov, A. A. Some Constructions of Extensions of Near-Rings / A. A. Simonov // Siberian Mathematical Journal. – 2026. – Vol. 67, No. 2. – P. 364-371. – DOI 10.1134/S0037446626020102. – EDN YRLMVO.

PY - 2026/3/28

Y1 - 2026/3/28

N2 - Near-rings associated with restricted sharply -transitive groups are studied.Constructions of extensions of near-rings by means of biodules, bimodules, and -pseudofields are presented.A scheme for doubling the dimension of near-rings is proposed.Examples of near-rings with nonabelian additive groups are given.

AB - Near-rings associated with restricted sharply -transitive groups are studied.Constructions of extensions of near-rings by means of biodules, bimodules, and -pseudofields are presented.A scheme for doubling the dimension of near-rings is proposed.Examples of near-rings with nonabelian additive groups are given.

KW - -pseudofield

KW - 512.7+512.548

KW - field

KW - loop

KW - module

KW - near-ring

KW - odule

KW - restricted sharply -transitive group

KW - ring

KW - поле

KW - кольцо

KW - почти-кольцо

KW - 2-псевдополе

KW - ограниченно строго 2-транзитивная группа

KW - модуль

KW - одуль

KW - лупа

UR - https://www.mendeley.com/catalogue/456e0247-a71a-3cc4-908e-9347a3eb102e/

UR - https://www.scopus.com/pages/publications/105034204532

UR - https://elibrary.ru/item.asp?id=89161337

U2 - 10.1134/S0037446626020102

DO - 10.1134/S0037446626020102

M3 - Article

VL - 67

SP - 364

EP - 371

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

ID: 84801532