Ompactification of Completely Regular Frames based on their Cozero Part

نویسندگان

چکیده مقاله:

 Let L  be a frame. We denoted the set of all regular ideals of cozL by rId(cozL) . The aim of this paper is to study these ideals. For a  frame L , we show that  rId(cozL) is a compact completely regular frame and the map jc : rId(cozL)→L  given by jc (I)=⋁I   is a compactification of L which is isomorphism to its  Stone–Čech compactification and is proved that jc have a right adjoint rc : L → rId(cozL) , given by rc(a)={x∈cozL : x≺≺a}. Moreover we identify prime and compact elements of rId(cozL) and we investigate the relation between regular ideals of cozL and P-frames. In addition it is shown that  a  frame L  is a P-frame if and only if any ideal of cozL is regular../files/site1/files/51/%D8%B9%D8%A7%D8%A8%D8%AF%DB%8C.pdf

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Completely Regular Ternary Semiring

We introduce and study the notion of a completely regular ternary semiring. Necessary and sufficient conditions for a ternary semiring to be completely regular are furnished. AMS Mathematics Subject Classification (2010): 16Y30, 16Y99

متن کامل

New completely regular q-ary codes based on Kronecker products

For any integer ρ ≥ 1 and for any prime power q, the explicit construction of a infinite family of completely regular (and completely transitive) q-ary codes with d = 3 and with covering radius ρ is given. The intersection array is also computed. Under the same conditions, the explicit construction of an infinite family of q-ary uniformly packed codes (in the wide sense) with covering radius ρ,...

متن کامل

On Free Products of Completely Regular Semigroups

The free product CR S i of an arbitrary family of disjoint completely simple semigroups fS i g i2I , within the variety CR of completely regular semigroups, is described by means of a theorem generalizing that of Ka dourek and Poll ak for free completely regular semigroups. A notable consequence of the description is that all maximal subgroups of CR S i are free, except for those in the factors...

متن کامل

On non-antipodal binary completely regular codes

Binary non-antipodal completely regular codes are characterized. Using the result on nonexistence of nontrivial binary perfect codes, it is concluded that there are no unknown nontrivial non-antipodal completely regular binary codes with minimum distance d ≥ 3. The only such codes are halves and punctered halves of known binary perfect codes. Thus, new such codes with covering radiuses ρ = 2, 3...

متن کامل

On nested completely regular codes and distance regular graphs

Infinite families of linear binary nested completely regular codes with covering radius ρ equal to 3 and 4 are constructed. In the usual way, i.e., as coset graphs, infinite families of embedded distance-regular coset graphs of diameter D = 3 or 4 are constructed. In some cases, the constructed codes are also completely transitive codes and the corresponding coset graphs are distance-transitive.

متن کامل

Arithmetic completely regular codes

In this paper, we explore completely regular codes in the Hamming graphs and related graphs. Experimental evidence suggests that many completely regular codes have the property that the eigenvalues of the code are in arithmetic progression. In order to better understand these “arithmetic completely regular codes”, we focus on cartesian products of completely regular codes and products of their ...

متن کامل

منابع من

با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ذخیره در منابع من قبلا به منابع من ذحیره شده

{@ msg_add @}


عنوان ژورنال

دوره 5  شماره 1

صفحات  53- 66

تاریخ انتشار 2019-08

با دنبال کردن یک ژورنال هنگامی که شماره جدید این ژورنال منتشر می شود به شما از طریق ایمیل اطلاع داده می شود.

کلمات کلیدی

کلمات کلیدی برای این مقاله ارائه نشده است

میزبانی شده توسط پلتفرم ابری doprax.com

copyright © 2015-2023