Results 11 to 20 of about 199,462 (178)
Ring-LWE in Polynomial Rings [PDF]
, 2012 The Ring-LWE problem, introduced by Lyubashevsky, Peikert, and Regev (Eurocrypt 2010), has been steadily finding many uses in numerous cryptographic applications. Still, the Ring-LWE problem defined in [LPR10] involves the fractional ideal R ∨, the dual of the ring R , which is the source of many theoretical and implementation technicalities. Until now,
Ducas, Léo, Durmus, Alain
openaire +2 more sources
On Syzygy Modules over Laurent Polynomial Rings
International Journal of Mathematics and Mathematical Sciences, 2020 In this paper, we present a dynamical method for computing the syzygy module of multivariate Laurent polynomials with coefficients in a Dedekind ring (with zero divisors) by reducing the computation over Laurent polynomial rings to calculations over a ...
Morou Amidou, Ousmane Moussa Tessa
doaj +1 more source
Semihereditary polynomial rings [PDF]
Proceedings of the American Mathematical Society, 1974 It is shown that if the ring of polynomials over a commutative ring R R is semihereditary then R R is von Neumann regular. This is the converse of a theorem of P. J. McCarthy.
openaire +2 more sources
The asymptotic behavior of Frobenius direct images of rings of invariants [PDF]
, 2015 We define the Frobenius limit of a module over a ring of prime characteristic to be the limit of the normalized Frobenius direct images in a certain Grothendieck group.
Hashimoto, Mitsuyasu, Symonds, Peter
core +3 more sources
An extension of the reflexive property of rings
Arab Journal of Mathematical Sciences, 2019 Mason introduced the notion of reflexive property of rings as a generalization of reduced rings. For a ring endomorphism α, Krempa studied α-rigid rings as an extension of reduced rings. In this note, we introduce the notion of α-quasi reflexive rings as
Arnab Bhattacharjee
doaj +1 more source
PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS
Barekeng, 2023 Let be a commutative ring with identity. Two elements and b in are called to be associates if and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
doaj +1 more source
Design approach for optimization of a piston ring profile considering mixed lubrication
Friction, 2016 To reduce the friction of a piston ring while maintaining a large oil film load-carrying capacity, an approach comprising of the inverse method and the sequential quadratic programming algorithm was proposed. The approach considers the variation of mixed
Zhinan Zhang, Jun Liu, Youbai Xie
doaj +1 more source
N $$ \mathcal{N} $$ = 4 SYM, (super)-polynomial rings and emergent quantum mechanical symmetries
Journal of High Energy Physics, 2023 The structure of half-BPS representations of psu(2, 2|4) leads to the definition of a super-polynomial ring R $$ \mathcal{R} $$ (8|8) which admits a realisation of psu(2, 2|4) in terms of differential operators on the super-ring.
Robert de Mello Koch, Sanjaye Ramgoolam
doaj +1 more source
Polynomial Rings over Pseudovaluation Rings [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 LetRbe a ring. Letσbe an automorphism ofR. We define aσ-divided ring and prove the following. (1) LetRbe a commutative pseudovaluation ring such thatx∉Pfor anyP∈Spec(R[x,σ]). ThenR[x,σ]is also a pseudovaluation ring. (2) LetRbe aσ-divided ring such thatx∉Pfor anyP∈Spec(R[x,σ]). ThenR[x,σ]is also aσ-divided ring.
openaire +3 more sources
Graded radical W type Lie algebras I
International Journal of Mathematics and Mathematical Sciences, 2002 We get a new ℤ-graded Witt type simple Lie algebra using a generalized polynomial ring which is the radical extension of the polynomial ring F[x] with the exponential function ex.
Ki-Bong Nam
doaj +1 more source