000 | 03413nam a22005055i 4500 | ||
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001 | vtls000560433 | ||
003 | RU-ToGU | ||
005 | 20210922090236.0 | ||
007 | cr nn 008mamaa | ||
008 | 170212s2015 gw | s |||| 0|eng d | ||
020 |
_a9783319212005 _9978-3-319-21200-5 |
||
024 | 7 |
_a10.1007/978-3-319-21200-5 _2doi |
|
035 | _ato000560433 | ||
040 |
_aSpringer _cSpringer _dRU-ToGU |
||
050 | 4 | _aQA174-183 | |
072 | 7 |
_aPBG _2bicssc |
|
072 | 7 |
_aMAT002010 _2bisacsh |
|
082 | 0 | 4 |
_a512.2 _223 |
100 | 1 |
_aCzelakowski, Janusz. _eauthor. _9467601 |
|
245 | 1 | 4 |
_aThe Equationally-Defined Commutator _helectronic resource _bA Study in Equational Logic and Algebra / _cby Janusz Czelakowski. |
250 | _a1st ed. 2015. | ||
260 |
_aCham : _bSpringer International Publishing : _bImprint: Birkhäuser, _c2015. |
||
300 |
_aIX, 292 p. 3 illus. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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505 | 0 | _aIntroduction -- Basic Properties of Quasivarieties -- Commutator Equations and the Equationally Defined Commutator -- Centralization Relations -- Additivity of the Equationally Defined Commutator -- Modularity and Related Topics -- Additivity of the Equationally Defined Commutator and Relatively Congruence-Distributive Dub quasivarieties -- More on Finitely Generated Quasivarieties -- Commutator Laws in Finitely Generated Quasivarieties -- Appendix 1: Algebraic Lattices.- Appendix 2: A Proof of Theorem 3.3.4 for Relatively Congruence-Modular Quasivarieties -- Appendix 3: Inferential Bases for Relatively Congruence-Modular Quasivarieties. | |
520 | _aThis monograph introduces and explores the notions of a commutator equation and the equationally-defined commutator from the perspective of abstract algebraic logic. An account of the commutator operation associated with equational deductive systems is presented, with an emphasis placed on logical aspects of the commutator for equational systems determined by quasivarieties of algebras. The author discusses the general properties of the equationally-defined commutator, various centralization relations for relative congruences, the additivity and correspondence properties of the equationally-defined commutator, and its behavior in finitely generated quasivarieties. Presenting new and original research not yet considered in the mathematical literature, The Equationally-Defined Commutator will be of interest to professional algebraists and logicians, as well as graduate students and other researchers interested in problems of modern algebraic logic. | ||
650 | 0 |
_amathematics. _9566183 |
|
650 | 0 |
_aAssociative rings. _9205882 |
|
650 | 0 |
_aRings (Algebra). _9460211 |
|
650 | 0 |
_aCommutative algebra. _9466051 |
|
650 | 0 |
_aCommutative rings. _9466052 |
|
650 | 0 |
_aGroup theory. _9303360 |
|
650 | 1 | 4 |
_aMathematics. _9566184 |
650 | 2 | 4 |
_aGroup Theory and Generalizations. _9303362 |
650 | 2 | 4 |
_aCommutative Rings and Algebras. _9303210 |
650 | 2 | 4 |
_aAssociative Rings and Algebras. _9306398 |
710 | 2 |
_aSpringerLink (Online service) _9143950 |
|
773 | 0 | _tSpringer eBooks | |
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-319-21200-5 |
912 | _aZDB-2-SMA | ||
999 | _c415256 |