A Note on Euclidean Order Types
نویسنده
چکیده
1. Ordered Classes, Isotone Maps, and Length Functions 1 1.1. Isotone Maps and Artinian Ordered Classes 1 1.2. Length Functions 2 2. Euclidean Functions 3 2.1. Basic Definitions 3 2.2. Structure Theory of Principal Rings 4 2.3. Generalized Euclidean Functions 4 2.4. Isotone Euclidean Functions 5 2.5. The Bottom Euclidean Function and the Euclidean Order Type 6 2.6. The Localized Euclidean Function 7 2.7. The Quotient Euclidean Function 7 2.8. The Product Theorem 8 2.9. Applications 9 References 10
منابع مشابه
The Evolution of Urban Zoning from Conventional to Form Based Codes; Introducing Non-Euclidean Zoning Techniqueschniques
Zoning has always been one of the basic tools of land use control available. Zoning is the regulation and restriction of land uses according to a predetermined plan. This paper will present a look at conventional zoning, its origins, the evolution of the zoning, and the scope of zoning types. Regardless of the varieties, most zoning codes can be classified into at least one of the following bro...
متن کاملSpatial Analysis in curved spaces with Non-Euclidean Geometry
The ultimate goal of spatial information, both as part of technology and as science, is to answer questions and issues related to space, place, and location. Therefore, geometry is widely used for description, storage, and analysis. Undoubtedly, one of the most essential features of spatial information is geometric features, and one of the most obvious types of analysis is the geometric type an...
متن کاملA note on the socle of certain types of f-rings
For any reduced commutative $f$-ring with identity and bounded inversion, we show that a condition which is obviously necessary for the socle of the ring to coincide with the socle of its bounded part, is actually also sufficient. The condition is that every minimal ideal of the ring consist entirely of bounded elements. It is not too stringent, and is satisfied, for instance, by rings of ...
متن کاملOn Finite Queue with Two Types of Failures and Preemptive Priority (RESEARCH NOTE)
We study the single server queueing system with two types of Abstract failure to servicechannels including the preemptive priority to the repair of major failure. The units arrive at thesystem in a poisson fashion and are served exponenitally. The steady - state probabilities ofvarious states by using generating function have been obtained.
متن کاملA Note on The Enumeration of Euclidean Self-Dual Skew-Cyclic Codes over Finite Fields
In this paper, we give the enumeration formulas for Euclidean selfdual skew-cyclic codes over finite fields when (n, |θ|) = 1 and for some cases when (n, |θ|) > 1, where n is the length of the code and |θ| is the order of automorphism θ.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Order
دوره 32 شماره
صفحات -
تاریخ انتشار 2015