000 02552nam a22004455i 4500
001 u371417
003 SIRSI
005 20160812080127.0
007 cr nn 008mamaa
008 100301s2010 xxu| s |||| 0|eng d
020 _a9781441917218
_9978-1-4419-1721-8
040 _cMX-MeUAM
050 4 _aQA172-172.4
050 4 _aQA171.5
082 0 4 _a511.33
_223
100 1 _aSteinberg, Stuart A.
_eauthor.
245 1 0 _aLattice-ordered Rings and Modules
_h[recurso electrónico] /
_cby Stuart A. Steinberg.
250 _aFirst.
264 1 _aNew York, NY :
_bSpringer New York,
_c2010.
300 _aXVIII, 630 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aPartially Ordered Sets and Lattices -- Lattice-ordered Groups -- Lattice-ordered Rings -- The Category of -Modules -- Lattice-ordered Fields -- Additional Topics.
520 _aThis book provides an exposition of the algebraic aspects of the theory of lattice-ordered rings and lattice-ordered modules. All of the background material on rings, modules, and lattice-ordered groups necessary to make the work self-contained and accessible to a variety of readers is included. Steinberg includes in his presentation of the material 800+ extensive exercises of varying levels of difficulty at the end of each of the sections. The first two chapters of the book provide a thorough introduction to the material, while the following four chapters delve into more specific topics. Key topics include: *lattice-ordered groups, rings, and fields; *archimedean l-groups; *f-rings and larger varieties of l-rings; *the category of f-modules; *various commutativity results. Filling a gap in the literature, Lattice-Ordered Rings and Modules may be used as a textbook or for self-study by graduate students and researchers studying lattice-ordered rings and lattice-ordered modules.
650 0 _aMathematics.
650 0 _aAlgebra.
650 1 4 _aMathematics.
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
650 2 4 _aAlgebra.
650 2 4 _aNon-associative Rings and Algebras.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781441917201
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-1721-8
596 _a19
942 _cLIBRO_ELEC
999 _c199297
_d199297