000 03403nam a22005895i 4500
001 978-3-031-42891-3
003 DE-He213
005 20251030111507.0
007 cr nn 008mamaa
008 240311s2024 sz | s |||| 0|eng d
020 _a9783031428913
_9978-3-031-42891-3
024 7 _a10.1007/978-3-031-42891-3
_2doi
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
100 1 _aPetrich, Mario.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_972654
245 1 0 _aCompletely Regular Semigroup Varieties
_h[electronic resource] :
_bA Comprehensive Study with Modern Insights /
_cby Mario Petrich, Norman R. Reilly.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXIV, 238 p. 47 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
505 0 _aFully Invariant Relations -- Kernel and Trace Relations -- Bands -- Polák Theorem.
520 _aThis book is a unified treatment of the most important core developments in the theory of completely regular semigroup theory as it stands today. This volume focuses on the lattice of varieties of completely regular semigroups. Since any in-depth study of the lattice of varieties requires an understanding of free completely regular semigroups, the book begins by describing the free object on countably infinite sets and the properties of the lattice of fully invariant congruences on the free object. The authors introduce various associated relations and operators on the lattice of varieties of completely regular semigroups. Following that, the book covers the sublattice of varieties of bands with a focus on the influence of that sublattice on the structure of the whole lattice. The book concludes with the remarkable theorem due to Polák describing the whole lattice of varieties of completely regular as a subdirect product of lattices, some of which are well understood. The authors include recent advances, insights, results, and techniques throughout the book.
650 0 _aGroup theory.
_970149
650 0 _aAlgebra.
_91501
650 0 _aMathematics.
_965523
650 0 _aMathematical logic.
_966195
650 0 _aAlgebraic logic.
_972655
650 1 4 _aGroup Theory and Generalizations.
_970154
650 2 4 _aOrder, Lattices, Ordered Algebraic Structures.
_969500
650 2 4 _aAlgebra.
_91501
650 2 4 _aMathematics.
_965523
650 2 4 _aMathematical Logic and Foundations.
_966198
650 2 4 _aAlgebraic Logic.
_972656
700 1 _aReilly, Norman R.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_972657
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031428906
776 0 8 _iPrinted edition:
_z9783031428920
776 0 8 _iPrinted edition:
_z9783031428937
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
856 4 0 _uhttps://doi.org/10.1007/978-3-031-42891-3
912 _aZDB-2-SXSC
999 _c58187
_d58187