Results 11 to 20 of about 528 (32)
Control subgroups and birational extensions of graded rings
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 411-415, 1999., 1999 In this paper, we establish the relation between the concept of control subgroups and the class of graded birational algebras. Actually, we prove that if R = ⊕σ∈GRσ is a strongly G‐graded ring and H⊲G, then the embedding i : R(H)↪R, where R(H) = ⊕σ∈HRσ, is a Zariski extension if and only if H controls the filter ℒ(R − P) for every prime ideal P in an ...
Salah El Din S. Hussein
wiley +1 more source
Some properties of graded comultiplication modules
Open Mathematics, 2017 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 +1 more source
The cones of Hilbert functions of squarefree modules [PDF]
, 2012 In this paper, we study different generalizations of the notion of squarefreeness for ideals to the more general case of modules. We describe the cones of Hilbert functions for squarefree modules in general and those generated in degree zero.
Bertone, Cristina +2 more
core +4 more sources
The Ideal Intersection Property for Groupoid Graded Rings [PDF]
, 2010 We show that if a groupoid graded ring has a certain nonzero ideal property, then the commutant of the center of the principal component of the ring has the ideal intersection property, that is it intersects nontrivially every nonzero ideal of the ring ...
Caenepeel S. +25 more
core +1 more source
Derived $H$-module endomorphism rings [PDF]
, 2010 Let $H$ be a Hopf algebra, $A/B$ be an $H$-Galois extension. Let $D(A)$ and $D(B)$ be the derived categories of right $A$-modules and of right $B$-modules respectively.
He, Ji-Wei +2 more
core +1 more source
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
Discussiones Mathematicae - General Algebra and Applications, 2017 In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj +1 more source
The negative side of cohomology for Calabi-Yau categories [PDF]
, 2012 We study integer-graded cohomology rings defined over Calabi-Yau categories. We show that the cohomology in negative degree is a trivial extension of the cohomology ring in non-negative degree, provided the latter admits a regular sequence of central ...
Auslander +12 more
core +1 more source
The behavior of Stanley depth under polarization [PDF]
, 2014 Let $K$ be a field, $R=K[X_1, ..., X_n]$ be the polynomial ring and $J \subsetneq I$ two monomial ideals in $R$. In this paper we show that $\mathrm{sdepth}\ {I/J} - \mathrm{depth}\ {I/J} = \mathrm{sdepth}\ {I^p/J^p}-\mathrm{depth}\ {I^p/J^p}$, where ...
Bogdan Ichim +3 more
core +3 more sources
N-complexes as functors, amplitude cohomology and fusion rules [PDF]
, 2006 We consider N-complexes as functors over an appropriate linear category in order to show first that the Krull-Schmidt Theorem holds, then to prove that amplitude cohomology only vanishes on injective functors providing a well defined functor on the ...
A. Connes +20 more
core +6 more sources
Fundamental group of Schurian categories and the Hurewicz isomorphism [PDF]
, 2011 Let k be a field. We attach a CW-complex to any Schurian k-category and we prove that the fundamental group of this CW-complex is isomorphic to the intrinsic fundamental group of the k-category. This extends previous results by J.C. Bustamante.
Cibils, Claude +2 more
core +2 more sources