搜索结果: 1-14 共查到“代数学 On commutative”相关记录14条 . 查询时间(0.096 秒)
What is this course about? The foundations of di erential geometry (=
study of manifolds) rely on analysis in several variables as \local machinery": many
global theorems about manifolds are reduced...
On the derived category of a graded commutative noetherian ring
Localizing subcategories graded ring weighted projective scheme
2011/9/20
Abstract: For any graded commutative noetherian ring, where the grading group is abelian and where commutativity is allowed to hold in a quite general sense, we establish an inclusion-preserving bijec...
Decompositions of commutative monoid congruences and binomial ideals
Decompositions of commutative monoid congruences binomial ideals Commutative Algebra
2011/9/19
Abstract: We demonstrate how primary decomposition of commutative monoid congruences fails to capture the essence of primary decomposition in commutative rings by exhibiting a more sensitive theory of...
Property (T) with respect to non-commutative Lp-spaces
Haagerup non-commutative Lp(M)-spaces property (T) group representations Mazur map
2011/8/29
Abstract: We show that a group with Kazhdan's property $(T)$ has property $(T_{B})$ for $B$ the Haagerup non-commutative $L_{p}(\mathcal{M})$-space associated with a von Neumann algebra $\mathcal{M}$,...
Universal equivalence of partially commutative metabelian Lie algebras
Lie algebras Universal equivalence Rings and Algebras
2011/8/23
Abstract: In this paper, we find a criterium for universal equivalence of partially commutative Lie algebras whose defining graphs are trees. Besides, we obtain bases for partially commutative metabel...
In this paper, linear bases for the partially commutative Lie alge-bras are found. The method of the Gr¨obner–Shirshov bases is used.
Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties
commutative monoid lattice commutative semigroup varieties
2010/11/11
Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.
Krall-Jacobi commutative algebras of partial differential operators
Krall-Jacobi commutative algebras partial differential operators
2010/11/18
We construct a large family of commutative algebras of partial differential operators invariant under rotations. These algebras are isomorphic extensions of the algebras of ordinary differential oper...
Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra
Gr¨obner-Shirshov basis non-associative algebra commutative algebra
2010/11/26
We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbi...
Pullbacks of Crossed Modules and Cat1- Commutative Algebras
Crossed modules Cat1-Algebra Pullback Commutative Algebra
2010/2/26
In this paper we first review the definitions of crossed module [10], pullback crossed module and cat1-object in the category of commutative algebras. We then describe a certain pullback of cat1- comm...
Commutative Quartic P-Galois Extensions Over a Field of Characteristic Not 2
Galois extension P-Galois extension quartic extension
2010/2/26
In [2], K. Kishimoto introduced the notion of P-Galois extensions and gave some fundamental properties of these extensions. P-Galois extensions relate Hopf Galois extensions, and the author treated th...
Crossed N-cubes and n-crossed Complexes of Commutative Algebras
Crossed N-cubes Commutative Algebras n-crossed Complexes
2010/3/4
In this paper we will define crossed \Bbb N-cubes and n-crossed complexes of commutative algebras and construct a functor from the category of simplicial algebras to that of n-crossed complexes.
A Combinatorial Definition of n-Types of Simplicial Commutative Algebras
n-Types Simplicial Commutative Algebras
2010/3/4
In this paper, we will give a description of the functor from the category of crossed n-cubes to that of simplicial commutative algebras and study a commutative algebra version of Loday's theorem on n...
Dold-Kan Type Theorems for n-Types of Simplicitial Commutative Algebras
Dold-Kan Type Simplicitial Commutative Algebras n-Types
2010/3/4
A functor from simplicial algebras to crossed \( n \)-cubes is shown to be an embedding on a reflexive subcategory of the category of simplicial algebras that contains representatives for all \( n \) ...