![arXiv:math/0105237v3 [math.DG] 8 Nov 2002](http://s1.studyres.com/store/data/017056594_1-99fcf3e85def2a6659feb2cb8a9b60c3-300x300.png)
Brauer-Thrall for totally reflexive modules
... about its singularity type. A notable illustration of this tenet is due to Herzog [10] and to Buchweitz, Greuel, and Schreyer [3]. They show that a complete local Gorenstein algebra is a simple hypersurface singularity if its category of maximal Cohen–Macaulay modules is representation finite. A mod ...
... about its singularity type. A notable illustration of this tenet is due to Herzog [10] and to Buchweitz, Greuel, and Schreyer [3]. They show that a complete local Gorenstein algebra is a simple hypersurface singularity if its category of maximal Cohen–Macaulay modules is representation finite. A mod ...
Lie groups - IME-USP
... the null bracket is called an Abelian Lie algebra. (ii) The Lie algebra of the direct product G × H is the direct sum of Lie algebras g ⊕ h, where the bracket is taken componentwise. (iii) Owing to the skew-symmetry of the Lie bracket, every one-dimensional Lie algebra is Abelian. In particular, the ...
... the null bracket is called an Abelian Lie algebra. (ii) The Lie algebra of the direct product G × H is the direct sum of Lie algebras g ⊕ h, where the bracket is taken componentwise. (iii) Owing to the skew-symmetry of the Lie bracket, every one-dimensional Lie algebra is Abelian. In particular, the ...
Modular Lie Algebras
... Recall that an algebra over a field K of characteristic p is a vector space A with a K-bilinear multiplication operation µ : A × A → A, which we usually write in the standard shorthand notation a ∗ b or even ab instead of the long notation µ(a, b). To an element a ∈ A one can associate two linear op ...
... Recall that an algebra over a field K of characteristic p is a vector space A with a K-bilinear multiplication operation µ : A × A → A, which we usually write in the standard shorthand notation a ∗ b or even ab instead of the long notation µ(a, b). To an element a ∈ A one can associate two linear op ...
Logical theory of the additive monoid of subsets of natural integers
... They are related to an intriguing and well-celebrated problem attributed to Frobenius which asks the following. Say a submonoid is numerical if it is generated by a finite subset of integers with greatest common divisor equal to 1. These submonoids are known to be cofinite in N but what precisely is ...
... They are related to an intriguing and well-celebrated problem attributed to Frobenius which asks the following. Say a submonoid is numerical if it is generated by a finite subset of integers with greatest common divisor equal to 1. These submonoids are known to be cofinite in N but what precisely is ...
Subfield-Compatible Polynomials over Finite Fields - Rose
... Let E be a finite field of characteristic p and let K and L be subfields of E. Let g : E → E be any function on E. This paper presents conditions that characterize when the restriction of g to the subfield K maps entirely into L, i.e. g (K) ⊆ L. When this occurs, we say that g is K to L compatible. ...
... Let E be a finite field of characteristic p and let K and L be subfields of E. Let g : E → E be any function on E. This paper presents conditions that characterize when the restriction of g to the subfield K maps entirely into L, i.e. g (K) ⊆ L. When this occurs, we say that g is K to L compatible. ...
Relative perturbation theory for diagonally dominant matrices
... In this paper, we shall significantly broaden the study of perturbation properties of diagonally dominant matrices in terms of their off-diagonal entries and diagonally dominant parts by establishing strong relative perturbation bounds for a number of linear algebra problems that have not been consi ...
... In this paper, we shall significantly broaden the study of perturbation properties of diagonally dominant matrices in terms of their off-diagonal entries and diagonally dominant parts by establishing strong relative perturbation bounds for a number of linear algebra problems that have not been consi ...
Basics of associative algebras
... Before defining quaternion algebras, we begin with some general preliminaries on algebras. This is largely to fix some definitions and to help us see how quaternion algebras fit into the general picture of algebraic structures. While some of the definitions may seem unmotivated at first, I hope this ...
... Before defining quaternion algebras, we begin with some general preliminaries on algebras. This is largely to fix some definitions and to help us see how quaternion algebras fit into the general picture of algebraic structures. While some of the definitions may seem unmotivated at first, I hope this ...
HOMOLOGY OF LIE ALGEBRAS WITH Λ/qΛ COEFFICIENTS AND
... EMZAR KHMALADZE ABSTRACT. Using the long exact sequence of nonabelian derived functors, an eight term exact sequence of Lie algebra homology with Λ/qΛ coefficients is obtained, where Λ is a ground ring and q is a nonnegative integer. Hopf formulas for the second and third homology of a Lie algebra are ...
... EMZAR KHMALADZE ABSTRACT. Using the long exact sequence of nonabelian derived functors, an eight term exact sequence of Lie algebra homology with Λ/qΛ coefficients is obtained, where Λ is a ground ring and q is a nonnegative integer. Hopf formulas for the second and third homology of a Lie algebra are ...