Ideal extensions of irreductive semigroups.
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B.M. Schein, L.M. Gluskin (1974)
Semigroup forum
L.M. Wang (1993)
Semigroup forum
Bohumil Šmarda (1980)
Archivum Mathematicum
D.D. Anderson, E.W. Johnson (1984)
Semigroup forum
Kehayopulu, Niovi (2006)
International Journal of Mathematics and Mathematical Sciences
R. McFadden, J.M. Howie (1990)
Semigroup forum
Tomáš Kepka (1994)
Commentationes Mathematicae Universitatis Carolinae
Products of (left) ideals in selfdistributive groupoids are studied.
Robert P. Sullivan (1978)
Commentationes Mathematicae Universitatis Carolinae
Angelika Wörz-Busekros (1974)
Semigroup forum
Franz Halter-Koch (2004)
Archivum Mathematicum
It is well known that an integral domain is a valuation domain if and only if it possesses only one finitary ideal system (Lorenzen -system of finite character). We prove an analogous result for root-closed (cancellative) monoids and apply it to give several new characterizations of Prüfer (multiplication) monoids and integral domains.
A. Mukherjea, R. Chaudhuri (1980)
Semigroup forum
John Fountain, Victoria Gould (1994)
Monatshefte für Mathematik
M. Putcha (1983)
Semigroup forum
G. AKST, T.P. Dence (1975)
Semigroup forum
Puninagool, W., Leeratanavalee, S. (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Zur Izhakian, Eugenii Shustin (2012)
Journal of the European Mathematical Society
The tropical semifield, i.e., the real numbers enhanced by the operations of addition and maximum, serves as a base of tropical mathematics. Addition is an abelian group operation, whereas the maximum defines an idempotent semigroup structure. We address the question of the geometry of idempotent semigroups, in particular, tropical algebraic sets carrying the structure of a commutative idempotent semigroup. We show that commutative idempotent semigroups are contractible, that systems of tropical...
H. Cohen, R.J. Koch (1981)
Semigroup forum
H. Cohen, R.J- Koch (1982)
Semigroup forum
Krgović, Dragica N. (1993)
Publications de l'Institut Mathématique. Nouvelle Série
L. O'Carroll (1976)
Semigroup forum
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