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144
The correct relatively stable category for idempotent modules ∗
, 708
"... We answer a question posed in [4], and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one localizes with respect to a tensor ideal subcategory. We also show that there is a modification one can make so as to recover the idempotent behav ..."
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We answer a question posed in [4], and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one localizes with respect to a tensor ideal subcategory. We also show that there is a modification one can make so as to recover the idempotent
Generic idempotent modules for a finite group
 Algebr. Represent. Theory
, 2000
"... Abstract. Let G be a finite group and k an algebraically closed field of characteristic p. Let FU be the Rickard idempotent kGmodule corresponding to the set U of subvarieties of the cohomology variety VG which are not irreducible components. We show that FU is a finite sum of generic modules corre ..."
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Cited by 2 (0 self)
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Abstract. Let G be a finite group and k an algebraically closed field of characteristic p. Let FU be the Rickard idempotent kGmodule corresponding to the set U of subvarieties of the cohomology variety VG which are not irreducible components. We show that FU is a finite sum of generic modules
FULLY IDEMPOTENT AND COIDEMPOTENT MODULES
, 2012
"... In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann’s regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent modules ..."
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Cited by 1 (0 self)
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In this paper, the notion of fully idempotent modules is defined and it is shown that this notion inherits most of the essential properties of the usual notion of von Neumann’s regular rings. Furthermore, we introduce the dual notion of fully idempotent modules (that is, fully coidempotent
IDEMPOTENT MODULES IN STABLE MODULE CATEGORJES (Akihiko Hida) (Faculty of Education, Saitama University)
"... ., [BCRI] , variety ..."
of Idempotent Semimodules
"... In classical module theory, a module over a principal ideal domain splits into the direct sum of a free module and a torsion module. This decomposition does not hold in general for a semimodule over a semiring. We give here a necessary and sufficient condition for an idempotent semimodule to be the ..."
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In classical module theory, a module over a principal ideal domain splits into the direct sum of a free module and a torsion module. This decomposition does not hold in general for a semimodule over a semiring. We give here a necessary and sufficient condition for an idempotent semimodule
Idempotent monads and . . .
"... For an associative ring R, let P be an Rmodule with S = EndR(P). C. Menini and A. Orsatti posed the question of when the related functor HomR(P, −) (with left adjoint P ⊗S −) induces an equivalence between a subcategory of RM closed under factor modules and a subcategory of SM closed under submod ..."
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categories. We call G a ⋆functor if it has a left adjoint F: A → B such that the unit of the adjunction is an extremal epimorphism and the counit is an extremal monomorphism. In this case (F, G) is an idempotent pair of functors and induces an equivalence between the category AGF of modules for the monad GF
Idempotent Monads and *Functors
, 2009
"... For an associative ring R, let P be an Rmodule with S = EndR(P). C. Menini and A. Orsatti posed the question of when the related functor HomR(P, −) (with left adjoint P ⊗S −) induces an equivalence between a subcategory of RM closed under factor modules and a subcategory of SM closed under submodu ..."
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Cited by 3 (3 self)
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For an associative ring R, let P be an Rmodule with S = EndR(P). C. Menini and A. Orsatti posed the question of when the related functor HomR(P, −) (with left adjoint P ⊗S −) induces an equivalence between a subcategory of RM closed under factor modules and a subcategory of SM closed under
RIEMANNIAN MANIFOLDS WITH IDEMPOTENT JACOBI OPERATORS*
"... We survey and analyze the Riemannian manifolds with idempotent Jacobi operators in addition to the research in [1], [2], [3], [9] and [10], and we also supply the necessary algebraic motivation for such a survey. Similar problems in the PseudoRiemannian case remain open and we believe in the existe ..."
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We survey and analyze the Riemannian manifolds with idempotent Jacobi operators in addition to the research in [1], [2], [3], [9] and [10], and we also supply the necessary algebraic motivation for such a survey. Similar problems in the PseudoRiemannian case remain open and we believe
and G.Todorov, Homological theory of idempotent ideals
 Trans. Amer. Math. Soc
, 1992
"... Abstract. Let A be an artin algebra 21 and a twosided ideal of A. Then 21 is the trace of a projective Amodule P in A. We study how the homological properties of the categories of finitely generated modules over the three rings A/21, A and the endomorphism ring of P are related. We give some appli ..."
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Cited by 17 (0 self)
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Abstract. Let A be an artin algebra 21 and a twosided ideal of A. Then 21 is the trace of a projective Amodule P in A. We study how the homological properties of the categories of finitely generated modules over the three rings A/21, A and the endomorphism ring of P are related. We give some
Results 1  10
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144