Let $G$ be a finitely generated abelian group and $M$ be a $G$-graded $A$-module. In general, $G$-associated prime ideals to $M$ may not exist. In this paper, we introduce the concept of $G$-attached prime ideals to $M$ as a generalization of $G$-associated prime ideals which gives a connection between certain $G$-prime ideals and $G$-graded modules over a (not necessarily $G$-graded Noetherian...

In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.

purpose: to evaluate the outcomes of keratorefractive surgery for correction of postkeratoplasty astigmatism in keratoconus. methods: in this retrospective study, surgical records of 45 eyes of 45 patients that underwent relaxing incisions with or without compressive sutures were evaluated. the minimum interval between complete suture removal and operation was 1 month. location and extent of in...

In this paper, we introduce a new generalization of weakly prime ideals called $I$-prime. Suppose $R$ is a commutative ring with identity and $I$ a fixed ideal of $R$. A proper ideal $P$ of $R$ is $I$-prime if for $a, b in R$ with $ab in P-IP$ implies either $a in P$ or $b in P$. We give some characterizations of $I$-prime ideals and study some of its properties.  Moreover, we give conditions  ...

 Prime submodules and artinian prime modules are characterized. Furthermore, some previous results on prime modules and second modules are generalized.

Background Subclavian and axillary arteries true aneurysms are rarely seen. The best incision for surgical approach is median sternotomy for intrathoracic right subclavian artery aneurysm, left thoracotomy for intrathoracic left subclavian artery aneurysm and supraclavicular incision for extrathoracic ones. Many surgeons approaches as subclavicular incision, subclavicular incision extending to ...

BACKGROUND Patients who undergo carpal tunnel surgery sometimes complain of the restriction of the grip and pinch function, palmar tenderness, cosmetic problems, and scar formation at the site of the incision. AIMS We used a modified mini uni-skin incision with appropriate hand position for microscopic view in the surgical treatment of carpal tunnel syndrome to prevent cosmetic problems relat...

the notions of quasi-prime submodules and developed  zariski topology was introduced by the present authors in cite{ah10}. in this paper we use these notions to define a scheme. for an $r$-module $m$, let $x:={qin qspec(m) mid (q:_r m)inspec(r)}$. it is proved that $(x, mathcal{o}_x)$ is a locally ringed space. we study the morphism of locally ringed spaces induced by $r$-homomorphism $mrightar...