Results 11 to 20 of about 18,021 (212)
Computation in multivariate quaternionic polynomial ring
Le Matematiche, 2013 In this paper we study on division algorithm and Gröbner bases in the multivariate quaternionic polynomial ring.
Hiep Tuan Dang
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Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain
Makara Seri Sains, 2010 Maximal and Prime Ideals of Skew Polynomial Ring Over the Gauss Integers Domain. Let R be any ring withidentity 1, σ be an automorphism of R and δ be a left σ-derivation. The skew polynomial ring over R in anindeterminate x is the set of polynomials anxn
Amir Kamal Amir
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The Structure of Local Rings with Singleton Basis and Their Enumeration
Mathematics, 2022 A local ring is an associative ring with unique maximal ideal. We associate with each Artinian local ring with singleton basis four invariants (positive integers) p,n,s,t.
Yousef Alkhamees, Sami Alabiad
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Categorifications of the polynomial ring
Fundamenta Mathematicae, 2015 29 pages, 26 ...
Khovanov, Mikhail, Sazdanovic, Radmila
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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
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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.
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Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Groebner Bases [PDF]
, 2010 We review our algebraic framework for linear boundary problems (concentrating on ordinary differential equations). Its starting point is an appropriate algebraization of the domain of functions, which we have named integro-differential algebras.
Regensburger, Georg +4 more
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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
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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
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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
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