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Titlebook: Nearrings, Nearfields and K-Loops; Proceedings of the C Gerhard Saad,Momme Johs Thomsen Conference proceedings 1997 Kluwer Academic Publish

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书目名称Nearrings, Nearfields and K-Loops
副标题Proceedings of the C
编辑Gerhard Saad,Momme Johs Thomsen
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Nearrings, Nearfields and K-Loops; Proceedings of the C Gerhard Saad,Momme Johs Thomsen Conference proceedings 1997 Kluwer Academic Publish
描述This present volume is the Proceedings of the 14th International Conference on Near­ rings and Nearfields held in Hamburg at the Universitiit der Bundeswehr Hamburg, from July 30 to August 06, 1995. This Conference was attended by 70 mathematicians and many accompanying persons who represented 22 different countries from all five continents. Thus it was the largest conference devoted entirely to nearrings and nearfields. The first of these conferences took place in 1968 at the Mathematische For­ schungsinstitut Oberwolfach, Germany. This was also the site of the conferences in 1972, 1976, 1980 and 1989. The other eight conferences held before the Hamburg Conference took place in eight different countries. For details about this and, more­ over, for a general historical overview of the development of the subject, we refer to the article "On the beginnings and development of near-ring theory" by G. Betsch [3]. During the last forty years the theory of nearrings and related algebraic struc­ tures like nearfields, nearmodules, nearalgebras and seminearrings has developed into an extensive branch of algebra with its own features. In its position between group theory and ring theory, thi
出版日期Conference proceedings 1997
关键词Abelian group; Algebra; Algebraic structure; Cohomology; Group theory; Volume; homomorphism; combinatorics
版次1
doihttps://doi.org/10.1007/978-94-009-1481-0
isbn_softcover978-94-010-7163-5
isbn_ebook978-94-009-1481-0
copyrightKluwer Academic Publishers 1997
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Special Radicals of Ω-Groupsevich varieties. Characterizations of the radical and semisimple classes are obtained, similar to those obtained for rings by Gardner and Wiegandt, and Rjabuhin and Wiegandt, respectively. These give new results in the varieties of 0-symmetric near-rings, rings with involution and T-rings, inter alia.
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Seminearrings of Polynomials Over Semifields: A Note on Blackett’s Fredericton Papererating functions. It turns out that his main result can be extended to show that all polynomials over a commutative semifield with zero (for instance the non-negative rationals) can be decomposed via composition and multiplication to affine polynomials, in fact to a special class of affine polynomials.
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Superprime Near-Rings the commutative to the non-commutative case, namely completely prime, is too strong since for example, maximal ideals in a ring with identity need not be completely prime; no matrix ring can be completely prime; the completely prime radical does not coincide with the nil radical on rings with dcc on left ideals.
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978-94-010-7163-5Kluwer Academic Publishers 1997
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Mathematics and Its Applicationshttp://image.papertrans.cn/n/image/662331.jpg
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https://doi.org/10.1007/978-94-009-1481-0Abelian group; Algebra; Algebraic structure; Cohomology; Group theory; Volume; homomorphism; combinatorics
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A Note on Simple Composition RingsIn the present note we characterize finite, simple, zero-symmetric composition rings (., +, ·, ∘) with an identity with respect to o and . ≠ {0}.
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The Cardinalities of the Endomorphism Near-Rings ,), AND , for All Groups , with |, 31In this note we present a table showing the cardinalities of the near-rings ., and . for all groups of order less than 32.
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