The Closed Socle of an Azumaya Algebra

Extending the idea of compressed algebra to arbitrary socle-vectors

In this paper we will study artinian quotients A = R/I of the polynomial ring R = k[x1, ..., xr], where k is a field of characteristic zero, the xi’s all have degree 1 and I is a homogeneous ideal of R. These rings are often referred to as standard graded artinian algebras. Before explaining the main results of this work, we establish some of the notation we will use: the h-vector of A is h(A) ...

an investigation about the relationship between insurance lines and economic growth; the case study of iran

مطالعات قبلی بازار بیمه را به صورت کلی در نظر می گرفتند اما در این مطالعه صنعت بیمه به عنوان متغیر مستفل به بیمه های زندگی و غیر زندگی شکسته شده و هم چنین بیمه های زندگی به رشته های مختلف بیمه ای که در بازار بیمه ایران سهم قابل توجهی دارند تقسیم میشود. با استفاده از روشهای اقتصاد سنجی داده های برای دوره های 48-89 از مراکز ملی داده جمع آوری شد سپس با تخمین مدل خود بازگشتی برداری همراه با تعدادی ...

Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence

an investigation of the types of text reduction in subtitling: a case study of the persian film gilaneh with english subtitles

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Azumaya Categories

We define the notions of Azumaya category and Brauer group in category theory enriched over some very general base category V. We prove the equivalence of various definitions, in particular in terms of separable categories or progenerating bimodules. When V is the category of modules over a commutative ring R with unit, we recapture the classical notions of Azumaya algebra and Brauer group and ...