General algebraic geometry and formal concept analysis.
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Becker, T. (1999)
Acta Mathematica Universitatis Comenianae. New Series
H. Andréka, I. Németi (1983)
Aleksandar Krapež (1980)
Publications de l'Institut Mathématique
Ivan Chajda (2003)
Mathematica Bohemica
An algebra is subregular alias regular with respect to a unary term function if for each we have whenever for each . We borrow the concept of a deductive system from logic to modify it for subregular algebras. Using it we show that a subset is a class of some congruence on containing if and only if is this generalized deductive system. This method is efficient (needs a finite number of steps).
Hedlíková, J., Pulmannová, S. (1996)
Acta Mathematica Universitatis Comenianae. New Series
Hedayati, Hossein (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Qiang Wang, Shelly L. Wismath (2004)
Discussiones Mathematicae - General Algebra and Applications
An inflation of an algebra is formed by adding a set of new elements to each element in the original or base algebra, with the stipulation that in forming products each new element behaves exactly like the element in the base algebra to which it is attached. Clarke and Monzo have defined the generalized inflation of a semigroup, in which a set of new elements is again added to each base element, but where the new elements are allowed to act like different elements of the base, depending on the context...
J. Ušan, B. Šešelja, G. Vojvodić (1979)
Matematički Vesnik
Vladislav Biba, Dana Hliněná (2012)
Kybernetika
The notion of a construction of a fuzzy preference structures is introduced. The properties of a certain class of generated fuzzy implications are studied. The main topic in this paper is investigation of the construction of the monotone generator triplet , which is the producer of fuzzy preference structures. Some properties of mentioned monotone generator triplet are investigated.
Funda Karaçal, Ümit Ertuğrul, M. Nesibe Kesicioğlu (2021)
Kybernetika
In this paper, some generating methods for principal topology are introduced by means of some logical operators such as uninorms and triangular norms and their properties are investigated. Defining a pre-order obtained from the closure operator, the properties of the pre-order are studied.
Ivan Chajda, Radomír Halaš (1994)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Aleš Drápal (1985)
Czechoslovak Mathematical Journal
Karla Čipková, Danica Jakubíková-Studenovská (2005)
Mathematica Slovaca
Ladislav Nebeský (1970)
Commentationes Mathematicae Universitatis Carolinae
Miroslav Ploščica (1994)
Publications de l'Institut Mathématique
Milan Sekanina (1975)
Matematický časopis
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.
Denecke, K., Wismath, S.L. (2008)
International Journal of Mathematics and Mathematical Sciences
Gomes, Gracinda M.S. (1992)
Portugaliae mathematica
D. LaTorre (1982)
Semigroup forum
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