Directed unions of local quadratic transforms of a regular local ring

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

ساختار کلاسهایی از حلقه های z- موضعی و c- موضعی the structure of some classes of z-local and c-local rings

فرض کنیمr یک حلقه تعویض پذیر ویکدار موضعی باشدو(j(r رایکال جیکوبسن r و(z(r مجموعه مقسوم علیه های صفر حلقه r باشد.گوییم r یک حلقه z- موضعی است هرگاه j(r)^2=. .همچنین برای یک حلقه تعویض پذیر r فرض کنیم c یک عنصر ناصفر از (z( r باشد با این خاصیت که cz( r)=0 گوییم حلقه موضعی r یک حلقه c - موضعی است هرگاه و{0 و z(r)^2={cو z(r)^3=0, نیز xz( r)=0 نتیجه دهد که x عضو {c,0 } است. در این پایان نامه ساخ...

rigid resolution of a finitely generated module over a regular local ring

Local Riesz transforms characterization of local Hardy spaces

For 0 < p ≤ 1, let hp(Rn) denote the local Hardy space. Let θ̂ be a smooth, compactly supported function, which is identically one in a neighborhood of the origin. For k = 1, . . . , n, let (rkf )̂ (ξ) = −i(1 − θ̂(ξ))ξk/|ξ|f̂(ξ) be the local Riesz transform and define (r0f )̂ (ξ) = (1 − θ̂(ξ))f̂(ξ). Let Ψ be a fixed Schwartz function with ∫ Ψ dx = 1, letM > 0 be an integer and suppose (n− 1)/(n+M − 1)...

Directed prime graph of non-commutative ring

Prime graph of a ring R is a graph whose vertex set is the whole set R any any two elements $x$ and $y$ of $R$ are adjacent in the graph if and only if $xRy = 0$ or $yRx = 0$.  Prime graph of a ring is denoted by $PG(R)$. Directed prime graphs for non-commutative rings and connectivity in the graph are studied in the present paper. The diameter and girth of this graph are also studied in the pa...