Results 91 to 100 of about 1,430 (227)
Weak Krull–Schmidt theorem and direct sum decompositions of serial modules of finite Goldie dimension [PDF]
, 2004 We show that every direct summand of a serial module M of finite Goldie dimension is serial, give a description of the corresponding commutative monoid V(M), and generalize Facchini's weak Krull–Schmidt theorem to a larger class of ...
Příhoda, Pavel
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Localization sequences for logarithmic topological cyclic homology
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes +2 more
wiley +1 more source
A Research on the Generalizations of Modules Whose Submodules are Isomorphic to a Direct Summand [PDF]
A module M is called virtually semisimple (resp. virtually extending) if every submodule (resp. complement submodule) of M is isomorphic to a direct summand of M.
Karabacak, Fatih, Taşdemir, Özgür
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper, we give a comprehensive study of min (max)-CS modules such as a closed submodule of min-CS module is min-CS. Amongst other results we show that a direct summand of min (max)-CS module is min (max)-CS module. One of interested theorems in
R . N. Majeed, I. M. A. Hadi
doaj
Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source
Maps of modules that every closed submodules are direct summand [PDF]
, 2011 R birleşmeli ve birimli bir halka, M bir sağ R-modül olmak üzere M nin her kapalı (closed) alt modülü M nin bir direkt toplananı ise M ye extending modül denir. Bu tanıma denk olan teorinin gelişimini sağlayan başka tanımlar da vardır.
Ürün, Ömer
core
Pure-direct-projective modules [PDF]
In this paper, we introduce and study the pure-direct-projective modules, that is the modules M every pure submodule A of which with M/A isomorphic to a direct summand of M is a direct. summand of M.
ALİZADE, RAFAİL, TOKSOY, SULTAN EYLEM
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Summand-injectivity of interval covers and monotonicity of interval resolution global dimensions [PDF]
, 2023 Recently, there is growing interest in the use of relative homology algebra to develop invariants using interval covers and interval resolutions (i.e., right minimal approximations and resolutions relative to interval-decomposable modules) for multi ...
Tada, Shunsuke +2 more
core +1 more source
The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli +3 more
wiley +1 more source
Direct summands of modules which satisfy (C-11) [PDF]
, 2004 A module M satisfies (C-11) if every submodule of M has a complement which is a direct summand of M. It is shown that there exists a commutative domain R and an R-module M which satisfies (C-11) and has a direct summand K that does not satisfy (C-11). In
Smith, PF, Tercan, A
core