Results 31 to 40 of about 199,462 (178)
, 2010 Let $G$ be a finite $p$-group and $k$ a field of characteristic $p>0$. We show that $G$ has a \emph{non-linear} faithful action on a polynomial ring $U$ of dimension $n=\mathrm{log}_p(|G|)$ such that the invariant ring $U^G$ is also polynomial.
Fleischmann, Peter, Woodcock, Chris
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Some Extensions of Generalized Morphic Rings and EM-rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 Let R be a commutative ring with unity. The main objective of this article is to study the relationships between PP-rings, generalized morphic rings and EM-rings. Although PP-rings are included in the later rings, the converse is not in general true.
Ghanem Manal, Abu Osba Emad
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, 2011 Dolgachev proved that, for any field k, the ring naturally associated to a generic Laurent polynomial in d variables, $d \geq 4$, is factorial. We prove a sufficient condition for the ring associated to a very general complex Laurent polynomial in d=3 ...
Antonella Grassi +8 more
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Borel-type presentation of the torus-equivariant quantum K-ring of flag manifolds of type C
Forum of Mathematics, SigmaWe give a presentation of the torus-equivariant (small) quantum K-ring of flag manifolds of type C as an explicit quotient of a Laurent polynomial ring; our presentation can be thought of as a quantization of the classical Borel presentation of the ...
Takafumi Kouno, Satoshi Naito
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Semi-galois Categories II: An arithmetic analogue of Christol's theorem
, 2018 In connection with our previous work on semi-galois categories, this paper proves an arithmetic analogue of Christol's theorem concerning an automata-theoretic characterization of when a formal power series over finite field is algebraic over the ...
Uramoto, Takeo
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Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings
International Journal of Mathematics and Mathematical Sciences, 2015 Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. Let f(x) be a quadratic polynomial in Z[x1,…,xn].
Ali H. Hakami
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A Matrix Ring Description for Cyclic Convolutional Codes
, 2007 In this paper, we study convolutional codes with a specific cyclic structure. By definition, these codes are left ideals in a certain skew polynomial ring.
Gluesing-Luerssen, Heide +1 more
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A note on rings which are multiplicatively generated by idempotents and nilpotents
International Journal of Mathematics and Mathematical Sciences, 1988 We give the structure of certain rings which are multiplicatively generated by nilpotents or multiplicatively generated by idempotents and nilpotents.
Hazar Abu-Khuzam
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Polynomial Functors of Modules [PDF]
, 2014 We introduce the notion of numerical functors to generalise Eilenberg & MacLane's polynomial functors to modules over a binomial base ring. After shewing how these functors are encoded by modules over a certain ring, we record a precise criterion for a ...
Harry Martinson Aniara +1 more
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Some algebras similar to the 2x2 Jordanian matrix algebras
, 2016 The impetus for this study is the work of Dumas and Rigal on the Jordanian deformation of the ring of coordinate functions on $2\times 2$ matrices. We are also motivated by current interest in birational equivalence of noncommutative rings.
Gaddis, Jason, Price, Kenneth L.
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