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991.
992.
K. R. McLean 《代数通讯》2013,41(12):4427-4439
A group G is (l,m,n)-generated if it is a quotient group of the triangle group T(l,m,n) = (x,y,z|x l= y m= z n= xyz= 1). In [8] the problem is posed to find all possible (l,m,n)-generations for the non-abelian finite simple groups. In this paper we partially answer this question for the Janko group J 3. We find all (2, 3, t)-generations as well as (2, 2,2,p)-generations, p a prime, for J 3 相似文献
993.
Christakis A. Pallikaros 《代数通讯》2013,41(11):4839-4859
994.
Qunhua Liu 《代数通讯》2013,41(12):5080-5093
We explicitly describe all spherical objects, as well as tilting objects, of the multiplicity free Brauer tree algebra with two edges. 相似文献
995.
N. S. Khripchenko 《代数通讯》2013,41(5):1670-1676
It is well known that incidence algebras can be defined only for locally finite partially ordered sets (Doubilet et al., 1972; Stanley 1986). At the same time, for example, the poset of cells of a noncompact cell partition of a topological space is not locally finite. On the other hand, some operations, such as the order sum and the order product (Stanley, 1986), do not save the locally finiteness. So it is natural to try to generalize the concept of incidence algebra. In this article, we consider the functions in two variables on an arbitrary poset (finitary series), for which the convolution operation is defined. We obtain the generalization of incidence algebra—finitary incidence algebra and describe its properties: invertibility, the Jackobson radical, idempotents, regular elements. As a consequence a positive solution of the isomorphism problem for such algebras is obtained. 相似文献
996.
997.
In this article, we give necessary and sufficient conditions for a possibly nonassociative comodule algebra over a nonassociative Hopf algebra to have a total integral, thus extending the classical theory developed by Doi in the associative setting. Also, from this result we deduce a version of Maschke's Theorems and the consequent characterization of projectives for (H, B)-Hopf triples associated with a nonassociative Hopf algebra H and a nonassociative right H-comodule algebra B. 相似文献
998.
999.
Sinéad Lyle 《代数通讯》2013,41(5):1723-1752
We determine the v-decomposition numbers d μλ(v) for μ a partition with at most three parts. We use this information to compute the composition factors of the Specht modules of the Hecke algebra ?0 = ??, ω( n ) which correspond to partitions with at most three parts. 相似文献
1000.
Let (R, m) be a two-dimensional regular local ring and let A be a finitely generated torsion-free R-module. If A is a complete module, then Dan Katz and Vijay Kodiyalam show A satisfies five conditions. They ask whether these five conditions are equivalent without assuming A to be complete. In a previous paper we determined all implications among these five conditions with one exception. In this paper, with an additional hypothesis on the units of R, we resolve the remaining case. 相似文献