Ideals and congruences in pseudo-BCH algebras

Andrzej Walendziak

doi:10.1515/ms-2017-0199

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Ideals and congruences in pseudo-BCH algebras

Andrzej Walendziak

Year: 2019 Journal: Mathematica Slovaca Vol: 69 (1)Pages: 5-14 Publisher: Springer Science+Business Media

DOI: 10.1515/ms-2017-0199

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Abstract

Abstract We introduce the concept of a translation ideal in pseudo-BCH algebras and investigate its properties. We prove that for any pseudo-BCH algebra 𝔛 there is a one-to-one order-preserving correspondence between the closed translation ideals of 𝔛 and the relative congruences on 𝔛.

Keywords:

Congruence relation BCH code Mathematics Ideal (ethics) Translation (biology) Order (exchange) Algebra over a field Pure mathematics Decoding methods Algorithm Epistemology Philosophy

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Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

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Ideals and congruences in pseudo-BCH algebras

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