Socle reductions and socle projective modules

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Socle Degrees, Resolutions, and Frobenius Powers

We first describe a situation in which every graded Betti number in the tail of the resolution of R J may be read from the socle degrees of R J . Then we apply the above result to the ideals J and J [q]; and thereby describe a situation in which the graded Betti numbers in the tail of the resolution of R/J [q] are equal to the graded Betti numbers in the tail of a shift of the resolution of R/J...

متن کامل

Socle Operators Then and Now

In this document I describe how the standard way the socle operator is set up for a module, and a neater way is can be set up using the lattice of submodules. I indicate why this way is neater by showing how the construction can be iterated. I go through the various constructions first for the straight socle, and then for the socle relative to a given hereditary torsion theory.

متن کامل

Bound quivers of three - separate stratified posets , their Galois coverings and socle projective representations

A class of stratified posets I∗ ̺ is investigated and their incidence algebras KI ̺ are studied in connection with a class of non-shurian vector space categories. Under some assumptions on I∗ ̺ we associate with I ∗ ̺ a bound quiver (Q,Ω) in such a way that KI∗ ̺ ≃ K(Q,Ω). We show that the fundamental group of (Q,Ω) is the free group with two free generators if I ̺ is rib-convex. In this case the uni...

متن کامل

Socle Series of Cohomology Groups of Line Bundles on G/B Short running title: Socle Series of Cohomology Groups

The G-module structure of the cohomology groups of line bundles over the flag variety G/B for a semisimple algebraic group G is studied. It is proved that, generically, their socle filtrations satisfy the same sum formula as Andersen’s filtrations if Lusztig’s conjecture is true. Another purpose of this paper is to calculate the socle series of the H0’s for the p-regular weights close to a cham...

متن کامل

The Poincaré Series of Modules over Generic Artinian Gorenstein Algebras of Even Socle Degree

Let Q = k[[x1, . . . , xn]] be the power series ring over a field k. Artinian Gorenstein quotients R = Q/I whose unique maximal ideal m satisfies ms 6= 0 = ms+1 are in correspondence via the Macaulay inverse system with degree s polynomials in n variables. Bøgvad constructed examples for which the Poincaré series of k over R is irrational. When s is even, we prove that such examples are rare. M...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Algebra

سال: 1986

ISSN: 0021-8693

DOI: 10.1016/0021-8693(86)90167-5