Kazimierz Głazek (auth.)'s A Guide to the Literature on Semirings and their PDF

By Kazimierz Głazek (auth.)

ISBN-10: 904816060X

ISBN-13: 9789048160600

ISBN-10: 9401599645

ISBN-13: 9789401599641

This quantity provides a quick consultant to the wide literature pertaining to semir­ ings besides a whole bibliography. The literature has been created over decades, in number of languages, via authors representing diversified colleges of arithmetic and dealing in numerous similar fields. usually the terminology used isn't common, which additional compounds the trouble of finding pertinent assets even during this age of the web and digital dis­ semination of analysis effects. to date there was no unmarried reference that may consultant the student or pupil to the suitable guides. This booklet is an try and fill this hole. My curiosity within the thought of semirings all started within the early sixties, whilst to­ gether with Bogdan W ~glorz i attempted to enquire a few algebraic points of compactifications of topological areas, semirings of semicontinuous features, and the overall perfect thought for unique semirings. (Unfortunately, neighborhood alge­ braists in Poland informed me at the moment that there has been not anything attention-grabbing in investigating semiring thought simply because ring idea used to be nonetheless being developed). even though, a while later we turned conscious of a few comparable investigations hav­ ing already been performed. the idea of semirings has remained "my past love" ever given that, and i've been attracted to the implications during this box which were showing in literature (even notwithstanding i have never been energetic during this region myself).

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Additional resources for A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences: With Complete Bibliography

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B. C. Derniame & C. Pair [1971], F. Drewes [1995], A. Dolan & J. I. N. G. Fletcher [1980], R. L. Fox [1973a], L. Fratta & U. M. E. Furman [1970]' G. Gallo & S. Pallottino [1982]' [1986], [1988], S. Gaubert [1990]' [1994a], [1995a], H. L. Miller [1988], B. Giffier [1963], [1968], [1973], B. L. Thompson [1960], M. Gondran [1975a], [1975b], [1975c], [1975d]' [1976a], [1976b], [1979a], [1979b], [1980], M. Gondran & M. Minoux [1977], [1978], [1979a], [1979b], [1984a], [1984b]' [1985], [1998], F. W. L.

A. A. E. A. Cuninghame-Green & P. A. Cuninghame-Green & F. Huisman [1982]' L. Dale [1979b] (the semi ring of n x n matrices over an Euclidean semiring), V. C. V. Denardo [1977] (nonnegative matrices), B. De Schutter [2000], E. Drazenska & M. -Y. Du & N. Ishii [1995), L. R. A. Dias da Silva [1988), L. Elsner P. D. ; max, +)), M. J. Freyd & A. Scedrov [1990] (matrices over locales), S. Gaubert [1994c), [1996a] (matrices over (max,+ )-algebras), S. Gaubert & P. Butkovic [1999), M. Gavalec [2000b), [2000c], [2000d), M.

Wisner [1966], G. Z. Kwiatkowska, G. A. Parker & R. N. Pandit [1961]' G. M. H. S. H. Teh [1966]. G. Horne, Jr. P. -S. P. -S. Tam [1997]). Some aspects of this semi ring are related to the concept of Baer semiring and Baer *-semiring introduced recently by Barker and Tam. One can also consider matrices over semirings. Certain machine-scheduling problems can be reduced to finding eigenvectors and eigenvalues of matrices over some semirings. , M. Gondran [1976b]). Most of the concepts of linear algebra can be defined over semirings as well as over fields; however, sometimes only one of the many equivalent definitions of an object may be usable over semirings.

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A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences: With Complete Bibliography by Kazimierz Głazek (auth.)

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