000			03248nam a22003615i 4500
001			280839
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007			cr nn 008mamaa
008			150903s2012 xxu| o |||| 0|eng d
020			_a9780817646424 _99780817646424
024	7		_a10.1007/9780817646424 _2doi
035			_avtls000333590
039		9	_a201509030205 _bVLOAD _c201404130455 _dVLOAD _c201404092244 _dVLOAD _y201402041115 _zstaff
040			_aMX-SnUAN _bspa _cMX-SnUAN _erda
050		4	_aQA150-272
100	1		_aKnoebel, Arthur. _eautor _9300833
245	1	0	_aSheaves of Algebras over Boolean Spaces / _cby Arthur Knoebel.
264		1	_aBoston, MA : _bBirkhäuser Boston : _bImprint: Birkhäuser, _c2012.
300			_axii, 331 páginas 63 ilustraciones _brecurso en línea.
336			_atexto _btxt _2rdacontent
337			_acomputadora _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_aarchivo de texto _bPDF _2rda
500			_aSpringer eBooks
505	0		_aPreface -- Introduction -- Algebra -- Tools -- Complexes and their Sheaves -- Boolean Subsemilattices -- Sheaves from Factor Congruences -- Shells -- Baer-Stone Shells -- Strict Shells -- Varieties Generated by Preprimal Algebras -- Return to General Algebras -- Further Examples Pointing to Future Research -- List of Symbols -- References -- Index.
520			_aSheaves of Algebras over Boolean Spaces comprehensively covers sheaf theory as applied to universal algebra. Sheaves decompose general algebras into simpler pieces called the stalks. A classical case is commutative von Neumann regular rings, whose stalks are fields. Other classical theorems also extend to shells, a common generalization of rings and lattices. This text presents intuitive ideas from topology such as the notion of metric space and the concept of central idempotent from ring theory. These lead to the abstract notions of complex and factor element, respectively. Factor elements are defined by identities, discovered for shells for the first time, explaining why central elements in rings and lattices have their particular form. Categorical formulations of the many representations by sheaves begin with adjunctions and move to equivalences as the book progresses, generalizing Stone’s theorem for Boolean algebras. Half of the theorems provided in the text are new; the rest are presented in a coherent framework, starting with the most general, and proceeding to specific applications. Many open problems and research areas are outlined, including a final chapter summarizing applications of sheaves in diverse fields that were not covered earlier in the book. This monograph is suitable for graduate students and researchers, and it will serve as an excellent reference text for those who wish to learn about sheaves of algebras.
590			_aPara consulta fuera de la UANL se requiere clave de acceso remoto.
710	2		_aSpringerLink (Servicio en línea) _9299170
776	0	8	_iEdición impresa: _z9780817642181
856	4	0	_uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-0-8176-4642-4 _zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
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999			_c280839 _d280839