Descriptor: "*MONOGENIC functions" / Database: Academic Search Index / Publisher: world scientific publishing company / Topic: ring theory - Searchworks@Jio Institute Digital Library Search Results

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Start Over Descriptor "*MONOGENIC functions" Topic ring theory Database Academic Search Index Publisher world scientific publishing company

Author: Ahmad, Shahzad, Nakahara, Toru, and Hameed, Abdul
Subjects: *SEXTIC surfaces, *RING theory, *MONOGENIC functions, *INTEGERS, *RATIONAL numbers
Abstract: An algebraic number ring is monogenic, or one-generated, if it has the form for a single algebraic integer . It is a problem of Hasse to characterize, whether an algebraic number ring is monogenic or not. In this note, we prove that if is a square-free rational integer, and , then the pure sextic field is not monogenic. Our results are illustrated by examples. [ABSTRACT FROM AUTHOR]
Published: 2016
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Author: FREIDMAN, P. A., HMEL'NITSKII, I. L., and Plotkin, E.
Subjects: *COMMUTATIVE rings, *MONOGENIC functions, *ASSOCIATIVE rings, *RING theory, *ALGEBRAIC fields, *MATHEMATICAL analysis
Abstract: We describe commutative rings of prime characteristic with the property indicated in the title of the paper. [ABSTRACT FROM AUTHOR]
Published: 2007
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