کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4596995 | 1336196 | 2012 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Extended real functions in pointfree topology
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In pointfree topology, a continuous real function on a frame L is a map L(R)→L from the frame of reals into L. The discussion of continuous real functions with possibly infinite values can be easily brought to pointfree topology by replacing the frame L(R) with the frame of extended reals (i.e. the pointfree counterpart of the extended real line ). One can even deal with arbitrary (not necessarily continuous) extended real functions. The main purpose of this paper is to investigate the algebra of extended real functions on a frame. Our results make it possible to study the class of almost real functions. In particular, we show that for extremally disconnected L, becomes an order-complete archimedean f-ring with unit.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 216, Issue 4, April 2012, Pages 905-922
Journal: Journal of Pure and Applied Algebra - Volume 216, Issue 4, April 2012, Pages 905-922