2014Journal of Algebra and Its ApplicationsRequires access

A primer on ideal theoretical operation in non-commutative polynomial rings

Teo Mora

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Abstract

Buchberger Theory provides, for commutative polynomial rings, computational tools allowing to perform ideal theoretical operations. Such techniques are easily adapted to deal with similar problems in the non-commutative setting. I give here an elementary primer.

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Buchberger Theory provides, for commutative polynomial rings, computational tools allowing to perform ideal theoretical operations. Such techniques are easily adapted to deal with similar problems in the non-commutative setting. I give here an elementary primer.

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Available abstract

Buchberger Theory provides, for commutative polynomial rings, computational tools allowing to perform ideal theoretical operations. Such techniques are easily adapted to deal with similar problems in the non-commutative setting. I give here an elementary primer.

Key concepts: Polynomial ring, Mathematics, Ideal (ethics), Ideal theory, Commutative property, Commutative ring, Polynomial, Primary ideal

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