A NOTE ON GIRSTMAIR’S IRREDUCIBILITY CRITERION

نویسندگان

چکیده

Girstmair in [1, Theorem 1] gave a generalization of Murty's irreducibility criterion (see [2, 1]). In this article, we further generalize these criteria.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Irreducibility criterion for algebroid curves

The purpose of this paper is to give an algorithm for deciding the irreducibility of reduced algebroid curves over an algebraically closed field of arbitrary characteristic. To do this, we introduce a new notion of local tropical variety which is a straightforward extension of tropism introduced by Maurer, and then give irreducibility criterion for algebroid curves in terms local tropical varie...

متن کامل

The criterion of irreducibility of multi – loop

The criterion of irreducibility of multi–loop Feynman integrals. Abstract The integration by parts recurrence relations allow to reduce some Feynman inte-grals to more simple ones (with some lines missing). Nevertheless the possibility of such reduction for the given particular integral was unclear. The recently proposed technique for studying the recurrence relations as by-product provides wit...

متن کامل

A Note on the Uniform Filling Property and Strong Irreducibility

Various separation properties of shift spaces have been defined in the literature. In [BPS], several were put into a chain of strict implications, leaving one open question: Is the uniform filling property (UFP) a strictly weaker condition than strong irreducibility (SI)? We given an example to show that it is, and we show that UFP and SI are equivalent for two-dimensional square filling shifts...

متن کامل

A note on the realignment criterion

For a quantum state in a bipartite system represented as a density matrix, researchers used the realignment matrix and functions on its singular values to study the separability of the quantum state. We obtain bounds for elementary symmetric functions of singular values of realignment matrices. This answers some open problems proposed by Lupo, Aniello, and Scardicchio. As a consequence, we show...

متن کامل

2 00 9 Irreducibility criterion for quasi - ordinary polynomials ∗

Let K be an algebraically closed field of characteristic zero, and let R = K[[x1, . . . , xe]] = K[[x]] be the ring of formal power series in x1, . . . , xe over K. Let f = y +a1(x)y + . . .+an(x) be a nonzero polynomial of R[y], and suppose that f is irreducible in R[y]. Suppose that e = 1 and let g be a nonzero polynomial of R[y], then define the intersection multiplicity of f with g, denoted...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Bulletin of The Australian Mathematical Society

سال: 2021

ISSN: ['0004-9727', '1755-1633']

DOI: https://doi.org/10.1017/s0004972721000861