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The 1998 Leroy P. Steele Prizes were awarded at the 104th Annual Meeting of the AMS in January in Baltimore. These prizes were established in 1970 in honor of George David Birkhoff, William Fogg Osgood, and William Caspar Graustein and are endowed under the terms of a bequest from Leroy P. Steele. The Steele Prizes are awarded in three categories: for expository writing, for a research paper of...
Given any linear code C over a finite field GF(q) we show how C can be described in a transparent and geometrical way by using the associated Bruen–Silverman code. Then, specializing to the case of MDS codes we use our new approach to offer improvements to the main results currently available concerning MDS extensions of linear MDS codes. We also sharply limit the possibilities for constructing...
Let $f:Arightarrow B$ and $g:A rightarrow C$ be two ring homomorphisms and let $J$ and $J^{'}$ be two ideals of $B$ and $C$, respectively, such that $f^{-1}(J)=g^{-1}(J^{'})$. The bi-amalgamation of $A$ with $(B,C)$ along $(J,J^{'})$ with respect of $(f,g)$ is the subring of $Btimes C$ given by $Abowtie^{f,g}(J,J^{'})={(f(a)+j,g(a)+j^{'})/ a in A, (j,j^{'}) in Jtimes J^{'}}.$ In ...
B. I. Abelev,50 M. M. Aggarwal,30 Z. Ahammed,45 B. D. Anderson,20 D. Arkhipkin,13 G. S. Averichev,12 Y. Bai,28 J. Balewski,17 O. Barannikova,9 L. S. Barnby,2 J. Baudot,18 S. Baumgart,50 S. Bekele,29 V. V. Belaga,12 A. Bellingeri-Laurikainen,40 R. Bellwied,48 F. Benedosso,28 R. R. Betts,9 S. Bhardwaj,35 A. Bhasin,19 A. K. Bhati,30 H. Bichsel,47 J. Bielcik,50 J. Bielcikova,50 L. C. Bland,3 S-L. B...
Approximately finite (AF) C *-algebras are classified by approximately finite (r-discrete principal) groupoids. Certain natural triangular subalgebras of AF C *-algebras are similarly classified by triangular subsemigroupoids of AF groupoids [10]. Putting this in a more intuitive way, such subalgebras A are classified by the topologised fundamental binary relation R(A) induced on the Gelfand sp...
Unlike most other sciences, psychology has no true core theory to guide a coherent research programme. It does have James J Gibson’s ecological approach to visual perception, however, which we suggest should serve as an example of the benefits a good theory brings to psychological research. Here we focus on an example of how the ecological approach has served as a guide to discovery, shaping an...
Most remote sensing studies in deserts focus solely on vegetation monitoring to assess the extent of desertification. However, the application of sand dune encroachment into such studies would greatly improve the accuracy in the prediction criteria of risk-prone areas. This study applies the latter methodology for tracking desertification using sand dunes in the Kelso Dunes (in Newberry-Baker, ...
Ginkgolide B, a constituent of the tree Ginkgo biloba, was radiolabeled with the beta-emitter tritium ([(3)H]) in two steps from ginkgolide C. First, a triflate precursor was prepared utilizing the selective reactivity of 7-OH in ginkgolide C; the triflate was then reduced with sodium borotritide to yield tritiated ginkgolide B ([(3)H]GB) in good yield and high specific activity. The tritiated ...
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فرض کنید r یک حلقه جابجایی و (a(r مجموعه ایدآل هایی از rباشد که پوچساز آن ها ناصفر است. گراف ایدآل های پوچساز یکدیگر r بصورت ( a(r نشان داده که مجموعه رأس های آن {(a(r)*=a(r)-{(0)} بوده و دو رأس متمایزi و jمجاورند اگر ij=(0). در این پایان نامه حلقه های جابجایی را بررسی می کنیم که گراف ایدآل های پوچساز آن ها دارای گونای متناهی و مثبت باشد. در حالتی که r حلقه ای آرتینی بوده وag(r)) ℵ) <∞، نشان دا...
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