000			03525nam a22004695i 4500
001			978-0-387-09781-7
003			DE-He213
005			20250710083925.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387097817 _a99780387097817
024	7		_a10.1007/b104443 _2doi
100	1		_aRhodes, John. _eauthor.
245	1	4	_aThe q-theory of Finite Semigroups _h[recurso electrónico] / _cby John Rhodes, Benjamin Steinberg.
264		1	_aBoston, MA : _bSpringer US, _c2009.
300			_aXXII, 666p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aI The q operator and Pseudovarieties of Relational Morphisms -- Foundations for Finite Semigroup Theory -- The q-operator -- The Equational Theory -- II Complexity in Finite Semigroup Theory -- The Complexity of Finite Semigroups -- Two-Sided Complexity and the Complexity of Operators -- III The Algebraic Lattice of Semigroup Pseudovarieties -- Algebraic Lattices, Continuous Lattices and Closure Operators -- The Abstract Spectral Theory of PV -- IV Quantales Idempotent Semirings Matrix Algebras and the Triangular Product -- Quantales -- The Triangular Product and Decomposition Results for Semirings.
520			_aDiscoveries in finite semigroups have influenced several mathematical fields, including theoretical computer science, tropical algebra via matrix theory with coefficients in semirings, and other areas of modern algebra. This comprehensive, encyclopedic text will provide the reader - from the graduate student to the researcher/practitioner - with a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. Key features: * Develops q-theory, a new theory that provides a unifying approach to finite semigroup theory via quantization; * Contains the only contemporary exposition of the complete theory of the complexity of finite semigroups; * Introduces spectral theory into finite semigroup theory; * Develops the theory of profinite semigroups from first principles, making connections with spectra of Boolean algebras of regular languages; * Presents over 70 research problems, most new, and hundreds of exercises. Additional features: * For newcomers, an appendix on elementary finite semigroup theory; * Extensive bibliography and index. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, and thereby updates and modernizes the literature of semigroup theory.
650		0	_aMATHEMATICS.
650		0	_aCOMPUTER SCIENCE.
650		0	_aALGEBRA.
650		0	_aGROUP THEORY.
650	1	4	_aMATHEMATICS.
650	2	4	_aGROUP THEORY AND GENERALIZATIONS.
650	2	4	_aORDER, LATTICES, ORDERED ALGEBRAIC STRUCTURES.
650	2	4	_aGENERAL ALGEBRAIC SYSTEMS.
650	2	4	_aMATHEMATICAL LOGIC AND FORMAL LANGUAGES.
700	1		_aSteinberg, Benjamin. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387097800
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/b104443 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56068 _d56068