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159
TELESCOPE CONJECTURE, IDEMPOTENT IDEALS, AND THE TRANSFINITE RADICAL
, 2008
"... We show that for an artin algebra Λ, the telescope conjecture for module categories is equivalent to certain idempotent ideals of mod Λ being generated by identity morphisms. As a consequence, we prove the conjecture for domestic standard selfinjective algebras and domestic special biserial algebr ..."
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We show that for an artin algebra Λ, the telescope conjecture for module categories is equivalent to certain idempotent ideals of mod Λ being generated by identity morphisms. As a consequence, we prove the conjecture for domestic standard selfinjective algebras and domestic special biserial
TELESCOPE CONJECTURE, IDEMPOTENT IDEALS, AND THE TRANSFINITE RADICAL
, 2008
"... We show that for an artin algebra Λ, the telescope conjecture for module categories is equivalent to certain idempotent ideals of mod Λ being generated by identity morphisms. As a consequence, we prove the conjecture for domestic standard selfinjective algebras and domestic special biserial algebras ..."
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We show that for an artin algebra Λ, the telescope conjecture for module categories is equivalent to certain idempotent ideals of mod Λ being generated by identity morphisms. As a consequence, we prove the conjecture for domestic standard selfinjective algebras and domestic special biserial
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
Idempotent ideals and nonfinitely generated projective modules over integral group rings of polycyclicbyfinite groups
 J. Algebra
"... Abstract. We prove that every nonfinitely generated projective module over the integral group ring of a polycyclicbyfinite group G is free if and only if G is polycyclic. 1. ..."
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Cited by 1 (1 self)
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Abstract. We prove that every nonfinitely generated projective module over the integral group ring of a polycyclicbyfinite group G is free if and only if G is polycyclic. 1.
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
Idempotents of Clifford Algebras ∗
, 2008
"... A classification of idempotents in Clifford algebras C p,q is presented. It is shown that using isomorphisms between Clifford algebras C p,q and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous families. These families include primitive idempot ..."
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Cited by 3 (1 self)
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idempotents used to generate minimal one sided ideals in Clifford algebras. Some low dimensional examples are discussed. 1
REFLEXIVE PROPERTY ON IDEMPOTENTS
"... Abstract. The reflexive property for ideals was introduced by Mason and has important roles in noncommutative ring theory. In this note we study the structure of idempotents satisfying the reflexive property and introduce reflexiveidempotentsproperty (simply, RIP) as a generalization. It is prove ..."
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Abstract. The reflexive property for ideals was introduced by Mason and has important roles in noncommutative ring theory. In this note we study the structure of idempotents satisfying the reflexive property and introduce reflexiveidempotentsproperty (simply, RIP) as a generalization
Idempotent nonlinear filters
 Proc. Nonlinear Signal Image Processing Conf. (NSIP’03), GradoTrieste
, 2003
"... Idempotent nonlinear filters may be viewed as extensions of the class of (nonrealizable) ideal linear filters, and one of their characteristic features is that they reduce any input sequence {xk} toarootafter one pass. This paper explores some new constructions of idempotent nonlinear filters, usin ..."
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Cited by 1 (1 self)
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Idempotent nonlinear filters may be viewed as extensions of the class of (nonrealizable) ideal linear filters, and one of their characteristic features is that they reduce any input sequence {xk} toarootafter one pass. This paper explores some new constructions of idempotent nonlinear filters
Hecke Algebra Representations in Ideals Generated by qYoung Clifford Idempotents
, 1999
"... It is a well known fact from the group theory that irreducible tensor representations of classical groups are suitably characterized by irreducible representations of the symmetric groups. However, due to their different nature, vector and spinor representations are only connected and not united in ..."
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Cited by 5 (4 self)
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also presented at this conference, an analysis of qsymmetry – for generic q ’s – based on the ordinary symmetric groups is given for the first time. We construct qYoung operators as Clifford idempotents and the Hecke algebra representations in ideals generated by these operators. Various relations
Results 1  10
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159