104,242 research outputs found
Weakly clean and related rings / Qua Kiat Tat
No full textLet R be an associative ring with identity. Let Id(R) and U(R) denote the
set of idempotents and the set of units in R, respectively. An element x 2 R is
said to be weakly clean if x can be written in the form x = u+e or x = u−e for
some u 2 U(R) and e 2 Id(R). If x is represented uniquely in this form, whether
x = u + e or x = u − e, then x is said to be uniquely weakly clean. We say that
x 2 R is pseudo weakly clean if x can be written in the form x = u+e+(1−e)rx
or x = u − e + (1 − e)rx for some u 2 U(R), e 2 Id(R) and r 2 R. For any
positive integer n, an element x 2 R is n-weakly clean if x = u1 +· · ·+un +e or
x = u1 + · · · + un − e for some u1, . . . ,un 2 U(R) and e 2 Id(R). The ring R is
said to be weakly clean (uniquely weakly clean, pseudo weakly clean, n-weakly
clean) if all of its elements are weakly clean (uniquely weakly clean, pseudo
weakly clean, n-weakly clean). Let g(x) be a polynomial in Z(R)[x] where Z(R)
denotes the centre of R. An element r 2 R is g(x)-clean if r = u + s for some
u 2 U(R) and s 2 R such that g(s) = 0 in R. The ring R is said to be g(x)-clean
if all of its elements are g(x)-clean. In this dissertation we investigate weakly
clean and related rings. We determine some characterisations and properties of
weakly clean, pseudo weakly clean, uniquely weakly clean, n-weakly clean and
g(x)-clean rings for certain types of g(x) 2 Z(R)[x]. Some generalisations of
results on clean and related rings are also obtained
Topologically boolean and g(x)-clean rings
No full textLet R be a ring with identity and let g(x) be a polynomial in Z(R)[x]
where Z(R) denotes the center of R. An element r ? R is called
g(x)-clean if r = u + s for some u,s ? R such that u is a unit and
g(s) = 0. The ring R is g(x)-clean if every element of R is
g(x)-clean. We consider g(x) = x(x?c) where c is a unit in R such
that every root of g(x) is central in R. We show, via set-theoretic
topology, that among conditions equivalent to R being g(x)-clean, is that
R is right (left) c-topologically boolean.</jats:p
Ad Virum Summe Reverendum Et Celeberrimum G. G. Zeltnerum Theologum Præstantissimum Epistola Sinceri Pistophili : Qua Mulierem Inter Leonem IV. Et Benedictum III. Papatu Romano Functam, idoneis rationibus asseritur, objectiones autem nuper factæ modeste propulsantur
No full textAD VIRUM SUMME REVERENDUM ET CELEBERRIMUM G. G. ZELTNERUM THEOLOGUM PRÆSTANTISSIMUM EPISTOLA SINCERI PISTOPHILI : QUA MULIEREM INTER LEONEM IV. ET BENEDICTUM III. PAPATU ROMANO FUNCTAM, IDONEIS RATIONIBUS ASSERITUR, OBJECTIONES AUTEM NUPER FACTÆ MODESTE PROPULSANTUR
Ad Virum Summe Reverendum Et Celeberrimum G. G. Zeltnerum Theologum Præstantissimum Epistola Sinceri Pistophili : Qua Mulierem Inter Leonem IV. Et Benedictum III. Papatu Romano Functam, idoneis rationibus asseritur, objectiones autem nuper factæ modeste propulsantur (1)
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Management Accounting III : MAC3011
No full textExamination on Management Accounting III : MAC3011, June 201
Bibliographie Hilarion G. Petzold 1958 – 2009 mit Anhang als Einführung
No full textDieses Archiv enthält die Gesamtbibliographie der Werke des Autors nebst einiger Texte „Über H. G. Petzold“ im Schlussteil der Bibliographie sowie einen Anhang mit einer Einführung in die Architektur des Werkes in seinem wissenslogischen Aufbau als Ausarbeitung seines „Tree of Science Modells“ (2007).This archive contains the complete bibliography of the author and some texts about H. G. Petzold, moreover an epilogue with an introduction to the architecture of the works in its epistemological structure and composition and as an elaborations of Petzold’s „Tree of Science Modell (2007).https://www.fpi-publikation.de/polyloge/01-2009-petzold-h-g-gesamtbibliographie-h-g-petzold-1958-2009-updating-november2009/peerReviewedpublishedVersio
Dispelling the Myths Behind First-author Citation Counts
No full textWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
Management Accounting III : MAC3011
No full textExamination on Management Accounting : MAC3011, June 201
Dissertatio Inauguralis Anatomico-Phisiologica Qua Demonstratur Cor Nervis Carere
No full textDISSERTATIO INAUGURALIS ANATOMICO-PHISIOLOGICA QUA DEMONSTRATUR COR NERVIS CARERE
Dissertatio Inauguralis Anatomico-Phisiologica Qua Demonstratur Cor Nervis Carere ([1]r)
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S. R. I. G. Liberae Civitatis Caesareae Moeno-Francofurtanae Senatui Splendidissimo Viris ... ([1])
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3346: Samuel G. Freedman, author, 2013
No full textPhotograph of author Samuel G. Freedman, at NT Daily Slash meeting in the Mayborn School of Journalism at UNT
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