This book presents a guide to the extensive literature on the topic
of semirings and includes a complete bibliography. It serves as a
complement to the existing monographs and a point of reference to
researchers and students on this topic. The literature on semirings
has evolved over many years, in a variety of languages, by authors
representing different schools of mathematics and working in
various related fields. Recently, semiring theory has experienced
rapid development, although publications are widely scattered. This
survey also covers those newly emerged areas of semiring
applications that have not received sufficient treatment in widely
accessible monographs, as well as many lesser-known or forgotten'
works.
The author has been collecting the bibliographic data for this
book since 1985. Over the years, it has proved very useful for
specialists. For example, J.S. Golan wrote he owed ... a special
debt to Kazimierz Glazek, whose bibliography proved to be an
invaluable guide to the bewildering maze of literature on
semirings'. U. Hebisch and H.J. Weinert also mentioned his
collection of literature had been of great assistance to them. Now
updated to include publications up to the beginning of 2002, this
work is available to a wide readership.
Audience: This volume is the first single reference that can
guide the interested scholar or student to the relevant
publications in semirings, semifields, algebraic theory of
languages and automata, positive matrices and other
generalisations, and ordered semigroups and groups.
General
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