Results 11 to 20 of about 32,572 (226)
Multiplication E-Module Media to Improve Cognitive Ability of First Grade Elementary School Students
In this digital era there are still many schools that have not used IT-based learning media, especially in the content of mathematics lessons on multiplication material. Even though mathematics is one of the subjects that must be achieved in elementary school education. Many students think mathematics is very difficult and complicated.
Niken Amanda +2 more
openalex +3 more sources
Graded Primary Submodules over Multiplication Modules
Let G be an abelian group with identity e, R be a G − graded commutative ring and M a graded R − module where all modules are unital. Various generalizations of graded prime ideals and graded submodules have been studied. For example, a proper graded ideal I is a graded weakly (resp; almost) prime ideal if 0 ≠ ab ∈ I (resp; ab ∈ I − I2) then a ∈ I or b
Malik Bataineh, Ala’ Lutfi Khazaaleh
openalex +2 more sources
Some properties of graded comultiplication modules
Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper we will obtain some results concerning the graded comultiplication modules over a commutative graded ring.
Al-Zoubi Khaldoun, Al-Qderat Amani
doaj +2 more sources
Graded Betti numbers of Cohen-Macaulay modules and the multiplicity conjecture [PDF]
We give conjectures on the possible graded Betti numbers of Cohen-Macaulay modules up to multiplication by positive rational numbers. The idea is that the Betti diagrams should be non-negative linear combinations of pure diagrams. The conjectures are verified in the cases where the structure of resolutions are known, i.e., for modules of codimension ...
Boij, Mats, Söderberg, Jonas
openaire +2 more sources
Stability theorems for multiplicities in graded $S_n$-modules
In this paper, we prove several stability theorems for multiplicities of naturally defined representations of symmetric groups. The first such theorem states that if we consider the diagonal action of the symmetric group $S_{m+r}$ on $k$ sets of $m+r$ variables, then the dimension of the invariants of degree $m$ is the same as the dimension of the ...
Romero, Marino, Wallach, Nolan
openaire +2 more sources
Combinatorial Hopf algebras and Towers of Algebras [PDF]
Bergeron and Li have introduced a set of axioms which guarantee that the Grothendieck groups of a tower of algebras $\bigoplus_{n\ge0}A_n$ can be endowed with the structure of graded dual Hopf algebras.
A Joyal +27 more
core +8 more sources
Gerstenhaber and Batalin-Vilkovisky structures on modules over operads [PDF]
In this article, we show under what additional ingredients a comp (or opposite) module over an operad with multiplication can be given the structure of a cyclic k-module and how the underlying simplicial homology gives rise to a Batalin-Vilkovisky module
Kowalzig, Niels
core +2 more sources
Graded multiplicities in the exterior algebra of the little adjoint module [PDF]
As a first application of the double affine Hecke algebra with unequal parameters on Weyl orbits to representation theory of semisimple Lie algebras, we find the graded multiplicities of the trivial module and of the little adjoint module in the exterior algebra of the little adjoint module of a simple Lie algebra $\,\mathfrak{g}\,$ with a non-simply ...
openaire +3 more sources
Betti numbers of graded modules and the multiplicity conjecture in the non-Cohen–Macaulay case [PDF]
We use the results by Eisenbud and Schreyer to prove that any Betti diagram of a graded module over a standard graded polynomial ring is a positive linear combination Betti diagrams of modules with a pure resolution. This implies the Multiplicity Conjecture of Herzog, Huneke and Srinivasan for modules that are not necessarily Cohen-Macaulay.
Boij, Mats, Söderberg, Jonas
openaire +3 more sources
Periodizable motivic ring spectra [PDF]
We show that the cellular objects in the module category over a motivic E infinity ring spectrum E can be described as the module category over a graded topological spectrum if E is strongly periodizable in our language. A similar statement is proven for
Spitzweck, Markus
core +4 more sources

