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Good and very good magnifiers

Marin Gutan (2000)

Bollettino dell'Unione Matematica Italiana

Un elemento a di un semigruppo S è un elemento accrescitivo sinistro se la traslazione λ a di S , associata all'elemento a , è surgettiva e non è iniettiva (E. S. Ljapin, [13], § 5). Così, per ogni elemento accrescitivo sinistro a , esiste un sottoinsieme proprio M di S tale che la restrizione a M di λ a è biunivoca. Se M è un sottosemigruppo (risp. un ideale destro) di S , l'elemento accrescitivo sinistro a viene detto buono (risp. molto buono) (F. Migliorini [15], [16], [17]). Utilizzando il monoide biciclico,...

Graph Monoids.

F.W. Roush, K.H. Kim, L.G. Makar-Limanov (1982)

Semigroup forum

Green’s 𝒟 -relation for the multiplicative reduct of an idempotent semiring

Francis J. Pastijn, Xian Zhong Zhao (2000)

Archivum Mathematicum

The idempotent semirings for which Green’s 𝒟 -relation on the multiplicative reduct is a congruence relation form a subvariety of the variety of all idempotent semirings. This variety contains the variety consisting of all the idempotent semirings which do not contain a two-element monobisemilattice as a subsemiring. Various characterizations will be given for the idempotent semirings for which the 𝒟 -relation on the multiplicative reduct is the least lattice congruence.

Green's relations and their generalizations on semigroups

Kar-Ping Shum, Lan Du, Yuqi Guo (2010)

Discussiones Mathematicae - General Algebra and Applications

Green's relations and their generalizations on semigroups are useful in studying regular semigroups and their generalizations. In this paper, we first give a brief survey of this topic. We then give some examples to illustrate some special properties of generalized Green's relations which are related to completely regular semigroups and abundant semigroups.

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