MARC record from Internet Archive

LEADER: 04004cam 2200673Ii 4500
001 ocm01625433
003 OCoLC
005 20210602171250.0
008 750915s1975 riua b 000 0 eng d
040 $aUniv of Pittsburgh Lib$beng$cPIT$dNLGGC$dBTCTA$dGEBAY$dNUI$dYDXCP$dKFH$dBDX$dOCLCQ$dOCLCO$dOCLCF$dOCLCQ$dDEBBG$dUKUOY$dTXI$dL2U$dOCLCO
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035 $a(OCoLC)1625433$z(OCoLC)1013345811$z(OCoLC)1027268745$z(OCoLC)1119405339$z(OCoLC)1171320224
050 4 $aQA1$b.A51m no.157
082 04 $a510.8
084 $a31.21$2bcl
084 $aSI 810$2rvk
100 1 $aLeech, Jonathan.
245 10 $aTwo papers :$bH-coextensions of monoids, and, the structure of a band of groups /$cJonathan Leech.
246 30 $aH-coextensions of monoids
246 30 $aStructure of a band of groups
260 $aProvidence, R.I. :$bAmerican Mathematical Society,$c©1975.
300 $avii, 95 pages :$billustrations ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vno. 157
504 $aIncludes bibliographical references for paper one (page 66), and paper two (page 95).
505 0 $a[script capital] H-coextensions of monoids ; Introduction -- The categories [double-struck capital] D(S) and [script capital] D(S) -- Congruences under [script capital] H -- [script capital] H-coextensions of monoids -- Split [script capital] H-coextensions of a monoid -- Abelian coextensions and cohomology.
505 0 $aThe structure of a band of groups ; Introduction -- The general case -- Some remarks on the category of bands -- Central bands of groups -- Cohomological considerations -- The case where [double-struck capital] B is functorial over [double-struck capital] B[surmounted by a tilde] -- The case when [double-struck capital] B is an [italic] A-band -- Remarks on the splitting case.
520 $aIn the first paper, the [script capital] H-coextension problem for monoids is studied in full generality. This is done by means of a factor system technique which reduces to classical group extension theory when all monoids under consideration are groups. This technique is made possible by a correspondence between the sub-[script capital] H-congruences on a monoid and the subfunctors of a certain group-valued functor [capital Greek] Gamma. This correspondence is the precise generalization to semigroups of the basic congruence-normal subgroup correspondence for group theory. The conclusion addresses the relationships between [script capital] H-coextension theory and an appropriate cohomology theory for monoids.
520 $aIn the second paper, the structure of a band of groups is studied by means of the techniques of the first paper.
583 1 $aLegacy$c2018$5UoY
650 0 $aMonoids.
650 0 $aSemigroups.
650 0 $aGroup extensions (Mathematics)
650 7 $a31.21 theory of groups.$0(NL-LeOCL)077601912$2bcl
650 7 $aGroup extensions (Mathematics)$2fast$0(OCoLC)fst00948387
650 7 $aMonoids.$2fast$0(OCoLC)fst01025589
650 7 $aSemigroups.$2fast$0(OCoLC)fst01112267
650 7 $aErweiterungsgruppe$2gnd
650 7 $aMonoid$2gnd
650 17 $aSemigroepen.$2gtt
740 02 $aH-coextensions of monoids.
740 02 $aStructure of a band of groups.
830 0 $aMemoirs of the American Mathematical Society ;$vno. 157.
938 $aBrodart$bBROD$n26992361$c$3.30
938 $aBaker and Taylor$bBTCP$nBK0008132780
938 $aYBP Library Services$bYANK$n4019438
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029 1 $aNLGGC$b851631274
029 1 $aNZ1$b12258700
029 1 $aDEBBG$bBV005749862
994 $aZ0$bP4A
948 $hNO HOLDINGS IN P4A - 163 OTHER HOLDINGS