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On the endomorphisms of translation modules of polynomials

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Abstract

We determine the structure of a ring of endomorphisms of a translation module whose structure is determined by a group of translations of an affine space that acts by means of displacement on a polynomial algebra.

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References

  1. O. Zariski and P. Samuel, Commutative Algebra, Vol. 2, Van Nostrand, Toronto (1960).

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  3. Yu. V. Bodnarchuk, “On automorphisms of block-triangular polynomial translation groups,” J. Pure Appl. Algebra, 137, 103–123 (1999).

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Bodnarchuk, Y.V. On the endomorphisms of translation modules of polynomials. Ukr Math J 52, 319–324 (2000). https://doi.org/10.1007/BF02529643

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  • DOI: https://doi.org/10.1007/BF02529643

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