This is an expository note on the Lascar group. We also study the Lascar group over hyperimaginaries, and make some new observations on the strong types over those. In particular we show that in a simple theory, Ltp ≡ stp in real context implies that for hyperimaginary context. The Lascar group introduced by Lascar [8], and related subjects have been studied by many authors ([9][1][7][6][3] and...

Let $(R,m)$ be a commutative Noetherian local ring, $M$ a finitely generated $R$-module of dimension $d$, and let $I$ be an ideal of definition for $M$. In this paper, we extend cite[Corollary 10(4)]{P} and also we show that if $M$ is a Cohen-Macaulay $R$-module and $d=2$, then $lambda(frac{widetilde{I^nM}}{Jwidetilde{I^{n-1}M}})$ does not depend on $J$ for all $ngeq 1$, where $J$ is a minimal ...

Suppose κ is λ-supercompact witnessed by an elementary embedding j : V →M with critical point κ, and further suppose that F is a function from the class of regular cardinals to the class of cardinals satisfying the requirements of Easton’s theorem: (1) ∀α α < cf(F (α)) and (2) α < β =⇒ F (α) ≤ F (β). In this article we address the question: assuming GCH, what additional assumptions are necessar...

background: diabetes is a common disease that can lead to metabolic abnormalities and chronic complications. today, the positive role of physical activity and exercise, especially walking in health human society and has been approved in prevention and control many complications including diabetes. today, the positive role of physical activities and exercise , especially hi wal king in the healt...

Penelitian ini bertujuan untuk mendapatkan data atau informasi dianalisis secara mendalam mengenai Strategi Pengembangan Pariwisata di Geosite Batu Kasah terkait aktifitas pengembangan pariwisata sesuai dengan potensi daerah yang direncanakan dalam Rencana Induk Pembangunan Kepariwisataan Kabupaten (RIPPARKAB) Natuna Tahun 2018-2025. Sehingga dapat dilakukan memaksimal. Metode penelitian diperg...

t h e s p e c i a l c o n c e n t r i c a l l y b r a c e d f r a m e (s c b f) i s a c o m m o n t y p e o f s t e e l s t r u c t u r a l s y s t e m f o r r e s i s t i n g l a t e r a l l o a d i n g. t h i s t y p e o f s y s t e m p r o v i d e s t h e r e q u i r e d s t i f f n e s s a n d s t r e n g t h a t r e l a t i v e l y l o w c o s t. d e s i g n c o d e s, b a s e d o n p a s ...

let $ m , n in mathbb{n}$, $d$ be a division ring, and $m_{m times n}(d)$ denote the bimodule of all $m times n$ matrices with entries from $d$. first, we characterize one-sided submodules of $m_{m times n}(d)$ in terms of left row reduced echelon or right column reduced echelon matrices with entries from $d$. next, we introduce the notion of a nest module of matrices with entries from $d$. we ...

Accessibility is an important property of geoheritage sites (geosites), which commonly considered in their assessment. A new method, refers partly to previous developments, proposed assess this semiquantitatively. Inner (on-site) and outer accessibility are distinguished, each measured depending on the opportunities reach unique geological features. Distant visibility entrance fees/required per...