Direct products, varieties, and compactness conditions

Mohammad Shahryari; Artem Shevlyakov

doi:10.1515/gcc-2017-0011

Direct products, varieties, and compactness conditions

Mohammad Shahryari, Artem Shevlyakov^*

^*Corresponding author for this work

Mathematics

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

7 Citations (Scopus)

Abstract

We study equationally Noetherian and q!-compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.

Original language	English
Pages (from-to)	159-166
Number of pages	8
Journal	Groups, Complexity, Cryptology
Volume	9
Issue number	2
DOIs	https://doi.org/10.1515/gcc-2017-0011
Publication status	Published - Nov 1 2017

Keywords

Direct products
Equationally Noetherian property
Varieties

ASJC Scopus subject areas

Computer Networks and Communications
Computational Theory and Mathematics
Computational Mathematics
Applied Mathematics

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10.1515/gcc-2017-0011

Cite this

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title = "Direct products, varieties, and compactness conditions",

abstract = "We study equationally Noetherian and q!-compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.",

keywords = "Direct products, Equationally Noetherian property, Varieties",

author = "Mohammad Shahryari and Artem Shevlyakov",

note = "Funding Information: The second author was supported by Russian Science Foundation (project 17-11-01117).",

year = "2017",

month = nov,

day = "1",

doi = "10.1515/gcc-2017-0011",

language = "English",

volume = "9",

pages = "159--166",

journal = "Groups, Complexity, Cryptology",

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publisher = "Walter de Gruyter GmbH & Co. KG",

number = "2",

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T1 - Direct products, varieties, and compactness conditions

AU - Shahryari, Mohammad

AU - Shevlyakov, Artem

N1 - Funding Information: The second author was supported by Russian Science Foundation (project 17-11-01117).

PY - 2017/11/1

Y1 - 2017/11/1

N2 - We study equationally Noetherian and q!-compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.

AB - We study equationally Noetherian and q!-compact varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.

KW - Direct products

KW - Equationally Noetherian property

KW - Varieties

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UR - http://www.scopus.com/inward/citedby.url?scp=85032915118&partnerID=8YFLogxK

U2 - 10.1515/gcc-2017-0011

DO - 10.1515/gcc-2017-0011

M3 - Article

AN - SCOPUS:85032915118

SN - 1867-1144

VL - 9

SP - 159

EP - 166

JO - Groups, Complexity, Cryptology

JF - Groups, Complexity, Cryptology

IS - 2

ER -

Direct products, varieties, and compactness conditions

Abstract

Keywords

ASJC Scopus subject areas

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