By Kazimierz Głazek (auth.)

ISBN-10: 904816060X

ISBN-13: 9789048160600

ISBN-10: 9401599645

ISBN-13: 9789401599641

This quantity provides a brief consultant to the broad literature bearing on semir­ ings in addition to a whole bibliography. The literature has been created over a long time, in number of languages, by way of authors representing assorted faculties of arithmetic and dealing in numerous comparable fields. normally the terminology used isn't common, which additional compounds the trouble of finding pertinent resources even during this age of the web and digital dis­ semination of analysis effects. to this point there was no unmarried reference which can advisor the pupil or scholar to the appropriate courses. This ebook is an try to fill this hole. My curiosity within the conception of semirings started within the early sixties, while to­ gether with Bogdan W ~glorz i attempted to enquire a few algebraic features of compactifications of topological areas, semirings of semicontinuous features, and the overall perfect thought for distinctive semirings. (Unfortunately, neighborhood alge­ braists in Poland instructed 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). besides the fact that, a while later we grew to become conscious of a few related investigations hav­ ing already been performed. the idea of semirings has remained "my old flame" ever because, and i've been drawn to the consequences during this box which were showing in literature (even notwithstanding i have never been lively during this sector myself).

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

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Guitart [1975], [1977] (matrices over quantales), K. Hashiguchi [1982]' [1986] (matrices over (N u{O, oo} ; min, +)), H. E. Heatherly [1973aJ (matrices over distributive nearrings), U. J. Weinert [1995]' J. G. J. Z. E. Ioanidis & E. Wong [1991)' G. Jacob [1975a), [1977a), [1977b)' B. J. Wisner [1966] (matrix number theory),!. E. R. -H. S. W. -H. W. -H. W. Roush & G. Markowsky [1997), D. Kozen [1994b), D. Krob [1990), [1991c), [1991d)' W. Kuich [1982b), [1986), W. Kuich & A. Salomaa [1986]' J. Kuntzmann [1972]' H.

C. J. A. E. R. N. V. Mironov [1972]' P. Jaffard [1950]' [1953], [1954], [1955a], [1956], J. Jakubik [1959a], [1959b], [1959c], [1963]' [1970], [1972]' [1974a], [1974b], [1975]' [1977]' [1979], [1980a], [1980b], [1982]' [1983], [1984]' J. Jakubik & O. Drevenak [1972]' M. A. A. Kappos & N. Kehayopulu [1971]' K. G. I. I. G. G. G. M. M. M. T. Lloyd [1964]' [1965], K. J. A. Lepellere & A. J. Madden & J. Vermeer [1990]' J. H. F. Ya. V. H. V. L. Mott [1975], D. Mundici [1987]' [1999], D. Mundici & G. H.

Zimmermann [1981aJ. B. Bapat, S. -Z. B. B. A. J. B. L. B. -G. B. -K. Li & S. B. J. B. J. B. -Z. B. -Z. -G. B. Beasley & S. -G. J. -Z. Y. K. Shin [1996]' S. -Z. -Z. -G. -Z. -G. -J. -Z. -G. -Z. -R. -Z. -D. -M. -B. J. Ch. B. Wang & X. Zhang [1998], and X. -G. Cao [1999J. L. Bloom & Z. B. Benson & 1. L. L. Bloom & Z. L. Bloom, N. C. E. C. C. L. Bloom & R. Tindell [1978], B. G. Manes [1989]' Gh. ~tefanescu [1987a], [1987b], D. Troeger [1981]' [1982]' and W. Wechler [1988a], [1988b], [1989J. L. C. L.

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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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