IRREDUCIBLE

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Some Simple Groups Which are Determined by Their Orders and Degree-Patterns
《Algebra Colloquium》2024年第2期341-346,共6页Qinghong Guo Weijun Liu Genghua Fan 
supported by NSFC(12071484);Hunan Provincial Natural Science Foundation(2020JJ4675);Foundation of Guangdong University of Science and Technology.
Let G be a finite group and Irr(G)the set of all irreducible complex characters of G.Let cd(G)be the set of all irreducible complex character degrees of G and denote byρ(G)the set of all primes which divide some char...
关键词：irreducible complex character character-prime graph finite nonabelian simple group 
The Spectrum of a Rational Function
《Algebra Colloquium》2020年第3期477-482,共6页Salah Najib 
Let k be an infinite field,A be a finite set of k,and Q∈k[x](with x=(x_(1),...,X_(n))and n≥2)be a noncons taut polynomial.The main goal of this paper is to construct a polynomial P(x)∈k[x]with suitably large partia...
关键词：irreducible and indecomposable polynomial spectrum of rational function field with product formula Hilbert subset 
Irreducible Weight Modules with a Finite-Dimensional Weight Space over the Twisted N z 1 SchrSdinger-Neveu- Schwarz Algebra
《Algebra Colloquium》2017年第4期697-704,共8页Huanxia Fa Jianzhi Han Junbo Li 
It is shown that there are no simple mixed modules over the twisted N = 1 Schrodinger-Neveu-Schwarz algebra, which implies that every irreducible weight module over it with a non-trivial finite-dimensional weight spac...
关键词：twisted N = 1 Schrodinger-Neveu-Schwarz algebra weight module irre-ducible module 
Irreducibility Properties of Keller Maps
《Algebra Colloquium》2016年第4期663-680,共18页Michiel de Bondt Dan Yan 
The first author was supported by the Netherlands Organisation for Scientific Research （NWO）. The second author was supported by the National Natural Science Foundation of China （Grant No. 11371343）.
Jedrzejewicz showed that a polynomial map over a field of characteristic zero is invertible, if and only if the corresponding endomorphism maps irreducible polynomials to irreducible polynomials. Furthermore, he showe...
关键词：Jacobian Conjecture Keller map IRREDUCIBLE square-free weak JacobianConjecture 
Some Properties of Completely Arithmetical Rings
《Algebra Colloquium》2016年第1期83-88,共6页Xinmin Lu 
In this paper, we introduce the concept of completely arithmetical rings and investigate their properties. In particular, we prove that if R is a completely arithmetical ring with J（R） =0, then Ko（R） ≌Z^n for som...
关键词：completely arithmetical ring completely irreducible ideal completely stronglyirreducible ideal K0-group 
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