Algebraic sets with fully characteristic radicals

Mohammad Shahryari

doi:10.17516/1997-1397-2017-10-3-293-297

Algebraic sets with fully characteristic radicals

Mohammad Shahryari^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We obtain a necessary and sufficient condition for an algebraic set in a group to have a fully character- istic radical. As a result, we see that if the radical of a system of equation S over a group G is fully characteristic, then there exists a class (Formula presented) of subgroups of G such that elements of S are identities of (Formula presented).

Original language	English
Pages (from-to)	293-297
Number of pages	5
Journal	Journal of Siberian Federal University - Mathematics and Physics
Volume	10
Issue number	3
DOIs	https://doi.org/10.17516/1997-1397-2017-10-3-293-297
Publication status	Published - 2017
Externally published	Yes

Keywords

Algebraic set
Algebraic structures
Equations
Fully characteristic subgroup
Fully invariant congruence
Radical ideal

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

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10.17516/1997-1397-2017-10-3-293-297

Cite this

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AB - We obtain a necessary and sufficient condition for an algebraic set in a group to have a fully character- istic radical. As a result, we see that if the radical of a system of equation S over a group G is fully characteristic, then there exists a class (Formula presented) of subgroups of G such that elements of S are identities of (Formula presented).

KW - Algebraic set

KW - Algebraic structures

KW - Equations

KW - Fully characteristic subgroup

KW - Fully invariant congruence

KW - Radical ideal

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JO - Journal of Siberian Federal University - Mathematics and Physics

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ER -

Algebraic sets with fully characteristic radicals

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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