This volume presents a short guide to the extensive literature
concerning semir ings along with a complete bibliography. The
literature has been created over many years, in variety of
languages, by authors representing different schools of mathematics
and working in various related fields. In many instances the
terminology used is not universal, which further compounds the
difficulty of locating pertinent sources even in this age of the
Internet and electronic dis semination of research results. So far
there has been no single reference that could guide the interested
scholar or student to the relevant publications. This book is an
attempt to fill this gap. My interest in the theory of semirings
began in the early sixties, when to gether with Bogdan W glorz I
tried to investigate some algebraic aspects of compactifications of
topological spaces, semirings of semicontinuous functions, and the
general ideal theory for special semirings. (Unfortunately, local
alge braists in Poland told me at that time that there was nothing
interesting in investigating semiring theory because ring theory
was still being developed). However, some time later we became
aware of some similar investigations hav ing already been done. The
theory of semirings has remained "my first love" ever since, and I
have been interested in the results in this field that have been
appearing in literature (even though I have not been active in this
area myself)."
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