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Noether numbers for subrepresentations of cyclic groups of prime order
 BULL. LONDON MATH. SOC
, 2002
"... Let W be a finitedimensional �/pmodule over a field, k, of characteristic p. The maximum degree of an indecomposable element of the algebra of invariants, k[W] �/p, is called the Noether number of the representation, and is denoted by β(W). A lower bound for β(W) is derived, and it is shown that i ..."
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Cited by 12 (10 self)
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Let W be a finitedimensional �/pmodule over a field, k, of characteristic p. The maximum degree of an indecomposable element of the algebra of invariants, k[W] �/p, is called the Noether number of the representation, and is denoted by β(W). A lower bound for β(W) is derived, and it is shown
Rings with Indecomposable Modules Local
"... Abstract. Every indecomposable module over a generalized uniserial ring is uniserial and hence a local module. This motivates us to study rings R satisfying the following condition: (∗) R is a right artinian ring such that every finitely generated right Rmodule is local. The rings R satisfying (∗) ..."
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Abstract. Every indecomposable module over a generalized uniserial ring is uniserial and hence a local module. This motivates us to study rings R satisfying the following condition: (∗) R is a right artinian ring such that every finitely generated right Rmodule is local. The rings R satisfying
INDECOMPOSABLE MODULES AND GELFAND RINGS
, 2005
"... It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnected maximal spectrum. It is shown that each indecomposable module over a commutative ring R satisfies a finite condition if and only if RP is an artinian valuation ring for each maximal prime ideal P ..."
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Cited by 5 (2 self)
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P. Commutative rings for which each indecomposable module has a local endomorphism ring are studied. These rings are clean and elementary divisor rings. It is shown that each commutative ring R with a Hausdorff and totally disconnected maximal spectrum is localglobal. Moreover, if R is arithmetic
THE INDECOMPOSABLE LIFTABLE MODULES IN CYCLIC BLOCKS
"... Abstract. Let G be a finite group and let k be an algebraically closed field of characteristic p. We classify the indecomposable liftable kGmodules in blocks with cyclic defect groups. The indecomposable, nonprojective, nonsimple modules in such a block are constructed from certain paths in the B ..."
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Abstract. Let G be a finite group and let k be an algebraically closed field of characteristic p. We classify the indecomposable liftable kGmodules in blocks with cyclic defect groups. The indecomposable, nonprojective, nonsimple modules in such a block are constructed from certain paths
On Reducible but Indecomposable Representations of the Virasoro Algebra. arXiv:hepth/9611160
"... Motivated by the necessity to include socalled logarithmic operators in conformal field theories (Gurarie, 1993) at values of the central charge belonging to the logarithmic series c1,p = 1 −6(p − 1) 2 /p, reducible but indecomposable representations of the Virasoro algebra are investigated, where ..."
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Cited by 55 (0 self)
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Motivated by the necessity to include socalled logarithmic operators in conformal field theories (Gurarie, 1993) at values of the central charge belonging to the logarithmic series c1,p = 1 −6(p − 1) 2 /p, reducible but indecomposable representations of the Virasoro algebra are investigated, where
ON THE VERTICES OF INDECOMPOSABLE SUMMANDS OF CERTAIN LEFSCHETZ MODULES
"... ABSTRACT. We study the reduced Lefschetz module of the complex of pradical and pcentric subgroups. We assume that the underlying group G has parabolic characteristic p and the centralizer of a certain noncentral pelement has a component with central quotient H a finite group of Lie type in chara ..."
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in characteristic p. A nonprojective indecomposable summand of the associated Lefschetz module lies in a nonprincipal block of G and it is a Green correspondent of an inflated, extended Steinberg module for a Lie subgroup of H. The vertex of this summand is the defect group of the block in which it lies. 1.
Explicit Description of a Class of Indecomposable Injective Modules*
"... Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p) 6 = 0. In this note, we describe the explicit structure of the injective envelope of the Rmodule R/p. ..."
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Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p) 6 = 0. In this note, we describe the explicit structure of the injective envelope of the Rmodule R/p.
Loewy Series of Certain Indecomposable Modules for Frobenius Subgroups
"... We imitate some approaches in infinite dimensional representation theory of complex semisimple Lie algebras by using the truncated category method in the categories of modules for certain Frobenius subgroups of a semisimple algebraic group over an algebraically closed field of characteristic p> 0 ..."
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> 0. By studying the translation functors from psingular weights to pregular weights, we obtain some results on Loewy series of certain indecomposable modules. Introduction Lusztig’s conjecture in the modular representation theory states that the character of a simple module can be calculated from a
TORSIONFREE CRYSTALLOGRAPHIC GROUPS WITH INDECOMPOSABLE HOLONOMY GROUP
, 2004
"... Abstract. Let K be a principal ideal domain, G a finite group, and M a KGmodule which as Kmodule is free of finite rank, and on which G acts faithfully. A generalized crystallographic group (introduced by the authors in volume 5 of this Journal) is a group C which has a normal subgroup isomorphic t ..."
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Cited by 1 (1 self)
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is an indecomposable KGmodule. Let K be either Z, or its localization Z (p) at the prime p, or the ring Zp of padic integers, and consider indecomposable torsionfree generalized crystallographic groups whose holonomy group is noncyclic of order p 2. In Theorem 2, we prove that (for any given p) the dimensions
GRÖBNER BASIS AND INDECOMPOSABLE MODULES OVER A Like Dedekind Ring
, 2006
"... Using Gröbner Basis, we introduce a general algorithm to determine the additive structure of a module, when we know about it using indirect information about its structure. We apply the algorithm to determine the additive structure of indecomposable modules over ZCp, where Cp is the cyclic group of ..."
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Using Gröbner Basis, we introduce a general algorithm to determine the additive structure of a module, when we know about it using indirect information about its structure. We apply the algorithm to determine the additive structure of indecomposable modules over ZCp, where Cp is the cyclic group
Results 1  10
of
111