Results 21 to 30 of about 1,167 (194)
Theory of Trotter Error with Commutator Scaling
Physical Review X, 2021 The Lie-Trotter formula, together with its higher-order generalizations, provides a direct approach to decomposing the exponential of a sum of operators. Despite significant effort, the error scaling of such product formulas remains poorly understood. We
Andrew M. Childs +4 more
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C4- and D4-Modules via perspective direct summands [PDF]
, 2018 In this article, we study the C4- and D4-modules in terms of perspective direct summands, providing new characterizations and results. Endomorphism rings of C4-modules and extensions of right C4-rings are also investigated.
Yasser Ibrahim +7 more
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Nagoya Mathematical Journal, 2014 Abstract We prove new cases of the direct summand conjecture using fundamental theorems in p-adic Hodge theory due to Faltings. The cases tackled include the ones when the ramification locus lies entirely in characteristic p.
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Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity [PDF]
, 2022 Let G be either a simple linear algebraic group over an algebraically closed field of characteristic l>0 or a quantum group at an l-th root of unity. The category Rep(G) of finite-dimensional G-modules is non-semisimple.
Gruber, Jonathan
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On weak convergence of iterates in quantum Lp-spaces (p≥1)
International Journal of Mathematics and Mathematical Sciences, 2005 Equivalent conditions are obtained for weak convergence of iterates of positive contractions in the L1-spaces for general von Neumann algebra and general JBW algebras, as well as for Segal-Dixmier Lp-spaces (1 ...
Genady Ya. Grabarnik +2 more
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Direct summands of direct products of slender modules [PDF]
Pacific Journal of Mathematics, 1985 Suppose \(P=\prod_{I}G_ i\) is a direct product of slender R-modules. If \(| I|\) is non-measurable and A is a direct summand of P, then \(A=\prod_{J}A_ j\) where each \(A_ j\) is isomorphic to a direct summand of a countable direct product of \(G_ i's\).
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On maximal rigid objects of morphism category
四川大学学报. 自然科学版, 2021 For a finite-dimension algebra A over a field k, let M be the morphism category of finitely generated projective A-module. We classify the maximal rigid objects of M by support t-tilting A-modules.
LI Wei-Yu
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Characters of permutation summands [PDF]
, 1998 A permutation lattice for a finite group G over the ring A of integers in a number field is a free A-module with a finite A-basis which is permuted by G; direct summands of these, as AG-modules, are called permutation summands for G over A.
Wang, Xiangyong
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Modules whose z-closed submodules are essentially embedded in summands [PDF]
, 2023 In this paper, we work out modules with the property that every z-closed submodules are essentially embedded in direct summands. This class of modules properly contains the class of CS-modules as well as some of their generalizations.
TERCAN, ADNAN, Mutlu, Figen Takil
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Modules whose exact submodules are essentially embedded in summands [PDF]
, 2023 In this article we study the condition that every exact submodule is essentially embedded in direct summands in a module. It is shown that the class of modules with former property is closed under direct sums. However, we provide examples which show that
Yasar, Ramazan +2 more
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