نتایج جستجو برای: free rank
تعداد نتایج: 580224 فیلتر نتایج به سال:
We prove that any torsion-free, residually finite relatively free group of infinite rank is not א1-homogeneous. This generalizes R. Sklinos’ result that a free group of infinite rank is not א1-homogeneous, and, in particular, gives a new simple proof of that result.
Fix integers r, k, g with r > k > 0 and g ≥ 2. Let X be an integral projective curve with g := pa(X) and E a rank r torsion free sheaf on X which is a flat limit of a family of locally free sheaves on X. Here we prove the existence of a rank k subsheaf A of E such that r(deg(A)) ≥ k(deg(E)) − k(r − k)g. We show that for every g ≥ 9 there is an integral projective curve X,X not Gorenstein, and a...
Receptor activator of NF-kB (RANK) pathway regulates bone remodeling and is involved in breast cancer (BC) progression. Genetic polymorphisms affecting RANK-ligand (RANKL) and osteoprotegerin (OPG) have been previously associated with BC risk and bone metastasis (BM)-free survival, respectively. In this study we conducted a retrospective analysis of the association of five missense RANK SNPs wi...
مقدمه : استعمال سیگار و مواد مخدر از جمله معضلات رایج بهداشتی محسوب می شوند. نه تنها استعمال سیگار، بلکه مواجه با دود آنها نیز عواقب زیادی را برای انسان ایجاد می نماید. در معرض دود سیگار بودن نیز خطر ابتلا به سرطان و بیماری های قلبی و عروقی را افزایش می دهد. یکی از عوامل مطرح شده در مورد مصرف سیگار اختلال در روند التیام زخم می باشد. بر همین اساس بر آن شدیم که به بررسی اثر مصرف سیگار بر روی باز ...
It is proved that over every countable field K there is a nil algebra R such that the algebra obtained from R by extending the field K contains noncommutative free subalgebras of arbitrarily high rank. It is also shown that over every countable field K there is an algebra R without noncommutative free subalgebras of rank two such that the algebra obtained from R by extending the field K contain...
مالتیپل میلوما بیماری ای خونی است که در آن میزان زیادی پلاسماسل تولید می شود.tgf سایتوکاینی است که به میزان زیادی درماتریکس استخوان یافت می شود. به نظر می رسد نقش اصلی tgf? در تشکیل استئوکلاست به واسطه افزایش حساسیت پیش سازهای استئوکلاست به rankl می باشد. در این پایان نامه اثر tgf? بر روی بیان ژن rank بررسی شده است.
The study of the free idempotent generated semigroup IG(E) over a biordered set E began with the seminal work of Nambooripad in the 1970s and has seen a recent revival with a number of new approaches, both geometric and combinatorial. Here we continue the study of the free idempotent generated semigroup IG(E) over the biordered set E of a wreath product G ≀ Tn. The latter monoid is isomorphic t...
We use coalgebraic methods to describe finitely generated free Heyting algebras. Heyting algebras are axiomatized by rank 0-1 axioms. In the process of constructing free Heyting algebras we first apply existing methods to weak Heyting algebras—the rank 1 reducts of Heyting algebras—and then adjust them to the mixed rank 0-1 axioms. On the negative side, our work shows that one cannot use arbitr...
In this article, we formalize in Mizar [7] the definition of “torsion part” of Z-module and its properties. We show Z-module generated by the field of rational numbers as an example of torsion-free non free Z-modules. We also formalize the rank-nullity theorem over finite-rank free Z-modules (previously formalized in [1]). Z-module is necessary for lattice problems, LLL (Lenstra, Lenstra and Lo...
In answer to a question of A. Blass, J. Irwin and G. Schlitt, a subgroup G of the additive group Zω is constructed whose dual, Hom(G,Z), is free abelian of rank 2א0 . The question of whether Zω has subgroups whose duals are free of still higher rank is discussed, and some further classes of subgroups of Zω are noted.
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