Hereditary endomorphism monoids of projective acts.
Ulrich Knauer, Peter Normak (1991)
Manuscripta mathematica
K.P. Shum, R.Z. Zhang (1996)
Semigroup forum
Patrick Dehornoy, Yves Lafont (2003)
Annales de l’institut Fourier
We describe new combinatorial methods for constructing explicit free resolutions of by -modules when is a group of fractions of a monoid where enough lest common multiples exist (“locally Gaussian monoid”), and therefore, for computing the homology of . Our constructions apply in particular to all Artin-Tits groups of finite Coexter type. Technically, the proofs rely on the properties of least common multiples in a monoid.
Tamilarasi, A. (2005)
International Journal of Mathematics and Mathematical Sciences
Y.S. Park, J.P. Kim (1991)
Semigroup forum
V. Fleischer (1988)
Semigroup forum
V. Fleischer (1986/1987)
Semigroup forum
P.R. Jones (1993)
Semigroup forum
J. Ahsan (1987)
Semigroup forum
S. Bulman-Fleming, P. Normak (1995)
Semigroup forum
Z. Liu (1995)
Semigroup forum
U. Knauer, P. Normak (1990)
Semigroup forum
J.M. Barja, F.G. G-Rodeja (1980)
Semigroup forum
Z. Goseki (1996)
Semigroup forum
Boris Novikov, Lyudmyla Polyakova (2009)
Open Mathematics
The isomorphism of 0-homology groups of a categorical at zero semigroup and homology groups of its 0-reflector is proved. Some applications of 0-homology to Eilenberg-MacLane homology of semigroups are given.
M.B. Szendrei (1980)
Semigroup forum
P. Normak (1987)
Semigroup forum
Patchkoria, Alex (2006)
Journal of Homotopy and Related Structures
H. Grassmann (1979)
Semigroup forum
Xingliang Liang, Xinyang Feng, Yanfeng Luo (2016)
Open Mathematics
In this paper, we introduce GP-po-flatness property of S-posets over a pomonoid S, which lies strictly between principal weak po-flatness and po-torsion freeness. Furthermore, we investigate the homological classification problems of pomonoids by using this new property. Finally, we consider direct products of GP-po-flat S-posets. As an application, characterizations of pomonoids over which direct products of nonempty families of principally weakly po-flat S-posets are principally weakly po-flat...