نتایج جستجو برای: order dense injective

تعداد نتایج: 969159  

2009
Dietrich Kuske Markus Lohrey

It it shown that the first-order theory of an automatic structure, whose Gaifman graph has bounded degree, is decidable in doubly exponential space (for injective automatic presentations, this holds even uniformly). Presenting an automatic structure of bounded degree whose theory is hard for 2EXPSPACE, we also prove this result to be optimal. These findings close the gap left open in [14].

Journal: :bulletin of the iranian mathematical society 2014
mahmood behboodi atefeh ghorbani seyed hossein shojaee

in this paper‎, ‎we introduce the notion of $(m,n)$-‎algebr‎aically compact modules as an analogue of algebraically‎ ‎compact modules and then we show that $(m,n)$-algebraically‎ ‎compactness‎ ‎and $(m,n)$-pure injectivity for modules coincide‎. ‎moreover‎, ‎further characterizations of a‎ ‎$(m,n)$-pure injective module over a commutative ring are given‎.

Journal: :Science China-mathematics 2021

Let $${\cal M}$$ be an n-cluster tilting subcategory of mod-Λ, where Λ is Artin algebra. S}({\cal M})$$ denote the full S}(\Lambda )$$ , submodule category Λ, consisting all monomorphisms in . We construct two functors from to $$\bmod - \underline {\cal M} $$ finitely presented additive contravariant on stable show that these are full, dense and objective hence provide equivalences between quot...

Journal: :bulletin of the iranian mathematical society 0
y. alagöz i̇zmir institute of technology‎, ‎department‎ ‎of mathematics‎, ‎35430‎, i̇zmir, turkey. y. durğun bitlis eren university‎, ‎department of mathematics‎, ‎13000‎, bitlis, ‎turkey.

an r-module m is called strongly noncosingular if it has no nonzero rad-small (cosingular) homomorphic image in the sense of harada. it is proven that (1) an r-module m is strongly noncosingular if and only if m is coatomic and noncosingular; (2) a right perfect ring r is artinian hereditary serial if and only if the class of injective modules coincides with the class of (strongly) noncosingula...

2005
H. Q. DINH P. A. GUIL ASENSIO

We find a bound for the Goldie dimension of hereditary modules in terms of the cardinality of the generator sets of its quasi-injective hull. Several consequences are deduced. In particular, it is shown that every right hereditary module with countably generated quasi-injective hull is noetherian. Or that every right hereditary ring with finitely generated injective hull is artinian, thus answe...

Journal: :Studia Mathematica 1998

Journal: :Proceedings of the American Mathematical Society 1981

Journal: :Pacific Journal of Mathematics 1959

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