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81.
82.
Hai Yan ZHOU 《数学学报(英文版)》2007,23(10):1807-1812
It is well known that there is a close connection between tame kernels and ideal class groups of number fields. However, the latter is a very difficult subject in number theory. In this paper, we prove some results connecting the p^n-rank of the tame kernel of a cyclic cubic field F with the p^n-rank of the coinvariants of μp^n×CI(δE,T) under the action of the Galois group, where E = F(ζp^n ) and T is the finite set of primes of E consisting of the infinite primes and the finite primes dividing p. In particular, if F is a cyclic cubic field with only one ramified prime and p = 3, n = 2, we apply the results of the tame kernels to prove some results of the ideal class groups of E, the maximal real subfield of E and F(ζ3). 相似文献
83.
Gabriel NAVARRO 《Frontiers of Mathematics in China》2013,8(5):1157-1183
We describe the valued Gabriel quiver of a wedge product of coalgebras and study the category of comodules of a semiprime coalgebra. In particular, we prove that any monomial semiprime k-tame fc-tame coalgebra is string. We also prove a version of Eisenbud-Griffith theorem for coalgebras, namely, any hereditary semiprime strictly quasi-finite coalgebra is serial. 相似文献
84.
In this paper, we introduce the notion of (*)-serial coalgebras which is a generalization of serial coalgebras. We investigate the properties of (*)-serial coalgebras and their comodules, and obtain sufficient and necessary conditions for a basic coalgebra to be (*)-serial. 相似文献
85.
We investigate the comodule representation category over the Morita-Takeuchi context coalgebra Γ and study the Gorensteinness of Γ. Moreover, we determine explicitly all Gorenstein injective comodules over the Morita-Takeuchi context coalgebra Γ and discuss the localization in Gorenstein coalgebras. In particular, we describe its Gabriel quiver and carry out some examples when the Morita-Takeuchi context coalgebra is basic. 相似文献
86.
Mathematical Notes - 相似文献
87.
Claudia Chaio 《代数通讯》2017,45(5):1953-1968
We study the degrees of irreducible morphisms between indecomposable modules lying in generalized standard coherent almost cyclic components of Auslander-Reiten quivers of artin algebras. 相似文献
88.
Buch and Fulton [9] conjectured the nonnegativity of the quiver coefficients appearing in their formula for a quiver cycle. Knutson, Miller and Shimozono [24] proved this conjecture as an immediate consequence of their component formula. We present an alternative proof of the component formula by substituting combinatorics for Gröbner degeneration [23, 24]. We relate the component formula to the work of Buch, Kresch, Tamvakis and the author [10] where a splitting formula for Schubert polynomials in terms of quiver coefficients was obtained. We prove analogues of this latter result for the type BCD-Schubert polynomials of Billey and Haiman [4]. The form of these analogues indicate that it should be interesting to pursue a geometric context that explains them. 相似文献
89.
We study the relationship between representation theoretic properties and homological properties of orders. We show that there
is a close relationship among Auslander orders, τ-categories and Auslander regular rings. As an application, we give a combinatorial
characterization of finite Auslander–Reiten quivers of orders.
Presented by K. Roggenkamp
Mathematics Subject Classifications (2000) Primary: 16G30; secondary: 16E65, 16G70, 18E05.
Current address: Department of Mathematics, University of Hyogo, Himeji, 671-2201, Japan. e-mail: iyama@sci.u-hyogo.ac.jp 相似文献
90.
For a local field F the finite subgroups of K2 F are expressed by a class of special elements of finite order, which makes a famous theorem built by Moore, Carroll, Tate
and Merkurjev more explicit and also disproves a conjecture posed by Browkin. 相似文献