Get A Guide to the Literature on Semirings and their PDF

February 27, 2018 | Literature | By admin | 0 Comments

By Kazimierz Głazek (auth.)

ISBN-10: 904816060X

ISBN-13: 9789048160600

ISBN-10: 9401599645

ISBN-13: 9789401599641

This quantity provides a brief consultant to the vast literature referring to semir­ ings in addition to a whole bibliography. The literature has been created over a long time, in number of languages, via authors representing various colleges of arithmetic and dealing in numerous similar fields. commonly the terminology used isn't really common, which additional compounds the trouble of finding pertinent assets even during this age of the net and digital dis­ semination of analysis effects. to this point there was no unmarried reference that may advisor the pupil or scholar to the correct guides. This booklet is an try and fill this hole. My curiosity within the idea of semirings started within the early sixties, whilst to­ gether with Bogdan W ~glorz i attempted to enquire a few algebraic facets of compactifications of topological areas, semirings of semicontinuous services, and the final excellent conception for distinct semirings. (Unfortunately, neighborhood alge­ braists in Poland informed me at the moment that there has been not anything fascinating in investigating semiring thought simply because ring idea was once nonetheless being developed). notwithstanding, it slow later we grew to become conscious of a few comparable investigations hav­ ing already been performed. the idea of semirings has remained "my past love" ever seeing that, and i've been drawn to the consequences during this box which were showing in literature (even notwithstanding i haven't been energetic during this sector myself).

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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. S. Y. Qin [1997] (matrices over max algebras), S. L. N. Sobolevskir [2000a], [2000b), [2001]' B. Mahr [1984]' J. Mairesse [1993), [1994a), [1995a], [1995b), [1997], A. Mandel & 1. G. P. Mascle [1986], C. Meinel & S. B. Mikhaylov [1984]' H.

Matsuhita [1951]' T. Michiura [1949]' K. Nakayama [1942]' T. Nakayama [1942]' [1946]' M. Ohnishi [1950], [1952]' G. Pickert [1951]' F. H. A. Vinogradov [1949]' and K. Yosida [1942]. The general theory of lattice-ordered groups has its origin in the paper by G. Birkhoff [1942]. The theory of lattice-ordered groups has been intensively investigated by many authors during the last fifty years; for further information and references see the following books: A. Bigard, K. Keimel & S. Wolfenstein [1977], G.

V. Kantorovich [1937], F. P. Steen [1936] (they considered vector lattices as l-groups which are vector spaces over the field of real numbers, such that multiplication by positive real numbers preserves the order). We list only a few papers on vector-lattices (or Banach lattices as a special case) and some generalizations: I. A. D. F. Conrad [1958a], [1958b], [1971b), J. Erdos 44 Chapter 4. [1956], 1. Fleischer [1976], M. Fukamiya & K. Yosida [1941]' C. G. E. Kist [1962]' S. V. Z. G. G. J. J. Madden [1989], T.

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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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