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191.
192.
《代数通讯》2013,41(7):3219-3249
Abstract Let R be a G-graded ring,M a G-graded Σ-quasiprojective R- module,and E = END R (M) its graded ring of endomorphisms. For any subgroup H of G,we prove that certain full subcategories of G/H-graded R-modules associated with M are equivalent to a quotient category of G/H-graded E-modules determined by the idempotent G-graded ideal of E consisting of endomorphisms which factor through a finitely generated submodule of M. Properties and applications of these equivalences are also examined. 相似文献
193.
This paper presents a new approach to the dimension theory of triangulated categories by considering invariants that arise in the pretriangulated setting. 相似文献
194.
Salah El-Din S. HUSSEIN 《数学年刊B辑(英文版)》2009,30(4):413-420
The author studies the Green correspondence and quasi-Green correspondence for indecomposable modules over strongly graded rings. The motivation is to investigate the influence of induction and restriction processes on indecomposability of graded modules. 相似文献
195.
Debashish Goswami 《Proceedings Mathematical Sciences》2009,119(1):63-70
We prove that an arbitrary (not necessarily countably generated) Hilbert G - module on a G - C
* algebra admits an equivariant embedding into a trivial G - module, provided G is a compact Lie group and its action on is ergodic. 相似文献
196.
The concept of (f, σ)-pair (B, H)is introduced, where B and H are Hopf algebras. A braided tensor category which is a tensor subcategory of the category ^HM of left H-comodules through an (f, σ)-pair is constructed. In particularly, a Yang-Baxter equation is got. A Hopf algebra is constructed as well in the Yetter-Drinfel'd category H^HYD by twisting the multiplication of B. 相似文献
197.
Let F
n
be the free group on n ≥ 2 elements and Aut(F
n
) its group of automorphisms. In this paper we present a rich collection of linear representations of Aut(F
n
) arising through the action of finite-index subgroups of it on relation modules of finite quotient groups of F
n
. We show (under certain conditions) that the images of our representations are arithmetic groups.
Received: November 2006, Accepted: March 2007 相似文献
198.
In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable
objects in these categories, using homological properties. Given a complex X
*, we consider the set and we define the application . We give relationships between some homological properties of an algebra and the respective application l. On the other hand, using homological properties again, we determine two subcategories of the bounded derived category of
an algebra, which turn out to be the bounded derived categories of quasi-tilted algebras. As a consequence of these results
we obtain new characterizations of quasi-tilted and quasi-tilted gentle algebras.
Presented by Raymundo Bautista. 相似文献
199.
Jia Feng Lü 《数学学报(英文版)》2009,25(6):1015-1030
The so-called weakly d-Koszul-type module is introduced and it turns out that each weakly d-Koszul-type module contains a d-Koszul-type submodule. It is proved that, M ∈ W H J^d(A) if and only if M admits a filtration of submodules: 0 belong to U0 belong to U1 belong to ... belong to Up = M such that all Ui/Ui-1 are d-Koszul-type modules, from which we obtain that the finitistic dimension conjecture holds in W H J^d(A) in a special case. Let M ∈ W H J^d(A). It is proved that the Koszul dual E(M) is Noetherian, Hopfian, of finite dimension in special cases, and E(M) ∈ gr0(E(A)). In particular, we show that M ∈ W H J^d(A) if and only if E(G(M)) ∈ gr0(E(A)), where G is the associated graded functor. 相似文献
200.
Using the bicomplex numbers
which is a commutative ring with zero divisors defined by
where i12 = − 1, i22 = − 1, j2 = 1 and i1i2 = j = i2i1, we construct hyperbolic and bicomplex Hilbert spaces. Linear functionals and dual spaces are considered on these spaces
and properties of linear operators are obtained; in particular it is established that the eigenvalues of a bicomplex self-adjoint
operator are in the set of hyperbolic numbers. 相似文献