Subalgebras in K[x] of small codimension

نویسندگان

چکیده

Abstract We introduce the concept of subalgebra spectrum, Sp ( A ), for a finite codimension in $$\mathbb {K}[x]$$ K [ x ] . The spectrum is subset underlying field. also tool, characteristic polynomial , which has as its set zeroes. can be computed from generators thus allowing us to find an algebra given by generators. proceed using get descriptions subalgebras codimension. More precisely we show that described conditions each either type $$f(\alpha )=f(\beta )$$ f ( α ) = β $$\alpha ,\beta$$ , ) or stating some linear combination derivatives different orders evaluated elements equals zero. use these types to, inductive process, explicit up three. These include SAGBI bases family subalgebras.

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ژورنال

عنوان ژورنال: Applicable Algebra in Engineering, Communication and Computing

سال: 2022

ISSN: ['1432-0622', '0938-1279']

DOI: https://doi.org/10.1007/s00200-022-00573-4