On strict extensions of semigroups.
Pierre Antoine Grillet, M.P. Grillet (1971)
Journal für die reine und angewandte Mathematik
Akbar Golchin, Parisa Rezaei, Hossein Mohammadzadeh (2009)
Czechoslovak Mathematical Journal
By a regular act we mean an act such that all its cyclic subacts are projective. In this paper we introduce strong -cyclic property of acts over monoids which is an extension of regularity and give a classification of monoids by this property of their right (Rees factor) acts.
S. Cherubini A, A. Varisco (1977/1978)
Semigroup forum
Mireille P. Grillet (1971)
Journal für die reine und angewandte Mathematik
S. Chattopadhyay, S. Kar (2008)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
In this paper we introduce the notion of the structure space of -semigroups formed by the class of uniformly strongly prime ideals. We also study separation axioms and compactness property in this structure space.
S.V. Ivanov (1994)
Semigroup forum
Z. Hedrlin, P. Goralcik (1970)
Semigroup forum
Kar-Ping Shum, X. M. Ren (2004)
Czechoslovak Mathematical Journal
The concept of super hamiltonian semigroup is introduced. As a result, the structure theorems obtained by A. Cherubini and A. Varisco on quasi commutative semigroups and quasi hamiltonian semigroups respectively are extended to super hamiltonian semigroups.
P. Goralcik, V. Koubek, J. Ryslinkova (1982)
Semigroup forum
M.B. Szendrei (1985)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
M. Satyanarayana (1985)
Semigroup forum
M. Satyanarayana (1981)
Semigroup forum
M. Satyanarayana, J. Hanumanthachari, D. Umamaheswarareddy (1986)
Semigroup forum
Tomáš Tichý, Jiří Vinárek (1972)
Commentationes Mathematicae Universitatis Carolinae
M. Banister, J. Chaika, S. T. Chapman, W. Meyerson (2007)
Colloquium Mathematicae
Let ℕ represent the positive integers and ℕ₀ the non-negative integers. If b ∈ ℕ and Γ is a multiplicatively closed subset of , then the set is a multiplicative submonoid of ℕ known as a congruence monoid. An arithmetical congruence monoid (or ACM) is a congruence monoid where Γ = ā consists of a single element. If is an ACM, then we represent it with the notation M(a,b) = (a + bℕ₀) ∪ 1, where a, b ∈ ℕ and a² ≡ a (mod b). A classical 1954 result of James and Niven implies that the only ACM...
L.M. Shneerson (1989)
Semigroup forum
S. Gaubert (1996)
Semigroup forum
B.P. jr. Brooks, W.E. Clark (1971)
Semigroup forum
C.J. Maxson, A. Oswald (1984)
Semigroup forum
Josef Zapletal (1974)
Archivum Mathematicum