Results 61 to 70 of about 315,833 (178)
On a generalization of I-regularity
Open MathematicsLet SS be a pomonoid. The projectivity and strong flatness of right SS-posets have been central topics in the homological classification of pomonoids in recent decades. In 2005, Shi et al. introduced II-regular SS-posets and proved that all its cyclic SS-
Qiao Husheng, Feng Leting
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On the Presentation and Cayley Graph of the Bruck–Reilly Idealization Semigroup
Journal of Mathematics, Volume 2026, Issue 1, 2026.Transferring constructions between different algebraic structures often reveals deep connections and enables the application of techniques from one theory to another. The idealization of the module over a ring, introduced by Nagata in 1962, has been a powerful tool in commutative algebra for decades.
Suha Wazzan +3 more
wiley +1 more source
The Weil algebra and the Van Est isomorphism [PDF]
, 2011 This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra W(A) associated to any Lie algebroid A.
Marius Crainic +9 more
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DEFINING EQUATIONS OF THE REES ALGEBRA OF CERTAIN PARAMETRIC SURFACES
, 2010 Let f0, f1, f2, f3 be linearly independent nonzero homogeneous polynomials in the standard ℤ-graded ring R ≔ 𝕂[s, t, u] of the same degree d, and gcd (f0, f1, f2, f3) = 1. This defines a rational map ℙ2 → ℙ3.
Wang, Haohao +3 more
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Noetherian Rees Algebra and Symbolic Powers
, 2012 Let R be a field and [special characters omitted] be the kernel of the homomorphism ϕ from R[[x,y,z]] to R[[t]] defined by: (x → [special characters omitted]).
Heater, Amber
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, 2012 This Saylor course is an extension of abstract algebra I and revisits structures like groups, rings and fields as well as mappings like homomorphisms and isomorphisms.
algebra, The Saylor Foundation
core
Symbolic Rees algebra and polynomials
, 2009 Let K be a field and P be the kernel of the homomorphism from K[[x, y, z]] to K[[t]] defined by {x -\u3e tn, y -\u3e tm, z -\u3e tl }. One wishes to know whether the Symbolic Rees algebra of P, [special characters omitted] is Noetherian.
Wilson, Christina
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On some properties of the asymptotic Samuel function
Mathematische Nachrichten, Volume 298, Issue 7, Page 2401-2423, July 2025.Abstract The asymptotic Samuel function generalizes to arbitrary rings the usual order function of a regular local ring. Here, we explore some natural properties in the context of excellent, equidimensional rings containing a field. In addition, we establish some results regarding the Samuel slope of a local ring.
A. Bravo, S. Encinas, J. Guillán‐Rial
wiley +1 more source
Identities in the Algebra of Partial Maps [PDF]
, 2005 We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson +3 more
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Links of Prime Ideals and Their Rees Algebras
Journal of Algebra, 1995 In a previous paper we exhibited the somewhat surprising property that most direct links of prime ideals in Gorenstein rings are equimultiple ideals with reduction number $1$. This led to the construction of large families of Cohen--Macaulay Rees algebras. The first goal of this paper is to extend this result to arbitrary Cohen--Macaulay rings.
Corso, A., Polini, C.
openaire +3 more sources