Monomial multiple structures
نویسندگان
چکیده
منابع مشابه
Monomial Ideals
Monomial ideals form an important link between commutative algebra and combinatorics. In this chapter, we demonstrate how to implement algorithms in Macaulay 2 for studying and using monomial ideals. We illustrate these methods with examples from combinatorics, integer programming, and algebraic geometry.
متن کاملMonomial Resolutions
Let M be a monomial ideal in the polynomial ring S = k[x1, . . . , xn] over a field k. We are interested in the problem, first posed by Kaplansky in the early 1960’s, of finding a minimal free resolution of S/M over S. The difficulty of this problem is reflected in the fact that the homology of arbitrary simplicial complexes can be encoded (via the Stanley-Reisner correspondence [BH,Ho,St]) int...
متن کاملMonomial Flocks and Herds Containing a Monomial Oval
Let F be a flock of the quadratic cone Q: X 2=X1X3 , in PG(3, q), q even, and let 6t : X0 =xt X1 + t X2 +zt X3 , t # Fq , be the q planes defining the flock F. A flock is equivalent to a herd of ovals in PG(2, q), q even, and to a flock generalized quadrangle of order (q, q). We show that if the herd contains a monomial oval, this oval is the Segre oval. This implies a result on the existence o...
متن کاملMonomial Irreducible sln-Modules
In this article, we introduce monomial irreducible representations of the special linear Lie algebra $sln$. We will show that this kind of representations have bases for which the action of the Chevalley generators of the Lie algebra on the basis elements can be given by a simple formula.
متن کاملMultiple Growing Cell Structures
We present here a variant of B. Fritzke’s GCS (Growing Cell Structures) — Multiple GCS (MGCS). In each insertion step of the GCS only one new cell is inserted in the middle of the edge connecting Maximum Resource Vertex (MSV) and the most distant node in the direct topological neighbourhood of MSV. But in our MGCS multiple new cells are inserted at the same time. The first new cell is inserted ...
متن کاملذخیره 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: ANNALI DELL'UNIVERSITA' DI FERRARA
سال: 2011
ISSN: 0430-3202,1827-1510
DOI: 10.1007/s11565-011-0139-z