This work concerns surjective maps $\varphi\colon R\to S$ of commutative noetherian local rings with kernel generated by a regular sequence that is part minimal generating set for the maximal ideal $R$. The main result provides criteria detecting such exceptional complete intersection in terms lattices thick subcategories derived category complexes finite length homology. A key input characteri...

Abstract The fast growing solutions of the following linear differential equation $$(*)$$ ( ∗ ) is investigated by using a more general scale $${[p,q]_{,\varphi }}$$ [ p , <mml:m...

Assume that $$\varOmega \subset {\mathbb {R}}^k$$ is an open set, V a separable Banach space over field $${\mathbb {K}}\in \{{\mathbb {R}},{\mathbb {C}}\}$$ and $$f_1,\ldots ,f_N :\varOmega \rightarrow \varOmega $$ , $$g_1,\ldots g_N:\varOmega {K}}$$ $$h_0:\varOmega V$$ are given functions. We interested in the existence uniqueness of solutions $$\varphi linear functional equation =\sum _{k=1}^...

In this work we set up the generating function of ultimate time survival probability $\varphi(u+1)$, where $$\varphi(u)=\mathbb{P}\left(\sup_{n\geqslant 1}\sum_{i=1}^{n}\left(X_i-\kappa\right)<u\right)$$ and $u\in\mathbb{N}_0,\,\kappa\in\mathbb{N}$, random walk $\left\{\sum_{i=1}^{n}X_i,\,n\in\mathbb{N}\right\}$ consists independent identically distributed variables $X_i$, which are non-negativ...

we obtain two fixed point theorems for a kind of $varphi $-contractions incomplete fuzzy metric spaces, which are applied to easily deduceintuitionistic versions that improve and simplify the recent results of x.huang, c. zhu and x. wen.