General Algebraic Structures
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: closed (30 November 2019) | Viewed by 15915
Special Issue Editors
Interests: BCK/BCI-algebras; fuzzy algebras; groupoid theory (= general algebraic structures); semirings; Fibonacci numbers
Special Issues, Collections and Topics in MDPI journals
Interests: quasigroups; BCK-algebras; fuzzy algebras
Special Issues, Collections and Topics in MDPI journals
Interests: algebraic structures; algebraic logic; fuzzy sets and applications
Special Issues, Collections and Topics in MDPI journals
Interests: algebra; fuzzy logic
Interests: artificial intelligence; algebra; fuzzy logic; rough sets theory
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
R. H. Bruck's famous book, A Survey of Binary Systems, mainly discussed loops and semigroups. It is necessary to organize several groupoids dealing with various axioms. The area of “general algebraic structures” contains several groupoids, i.e., sets with a single binary operation satisfying some conditions. The well-known topics, e.g., groups, semigroups, monoids, BCK/BCI-algebra, etc., are not included in this area. It contains lots of generalized algebraic structures of these well-known mathematical structures simply by deleting/weakening/changing the axioms.
The notion of BCK/BCI-algebra was introduced by K. Iséki in 1965, alongside its generalizations, e.g., BCH-algebra, BH-algebra, BZ-algebra, BCC-algebra, pre-BCK-algebra and near-BCK-algebra. The notion of d-algebra was introduced by deleting two complicated axioms from BCK-algebra. After that, many algebraic structures appeared, e.g., B-, BE-, BF-, BG-, BM-, BN-, BO-, BP-, C-, CI-, Q, QS-algebra. Other important algebraic structures are implicative algebra, positive implication algebra, selective groupoids, pogroupoids, weak-zero groupoids, etc. These algebras have some inter-relationships with each other, and have more rooms for further research.
This Special Issue of Mathematics (MDPI) will provide an opportunity to construct an area of general algebraic structures, and will encourage researchers to publish their investigations in this area.
We will consider any paper in the area of general algebraic structures for possible publication. We will exclude papers on well-known algebras, e.g., groups, rings, fields, semigroups, lattices and posets, BCK/BCI-algebra, fuzzy algebraic theory, etc.
Prof. Dr. Hee Sik Kim
Prof. Dr. Wiesław A. Dudek
Prof. Dr. Arsham Borumand Saeid
Prof. Dr. Rajab Borzooei
Prof. Dr. Xiaohong Zhang
Prof. Dr. Jianming Zhan
Guest Editors
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Keywords
- general algebraic structures
- sets with a single binary operations (groupoids)
- generalized groups
- implicative algebra
- generalized BCK/BCI-algebra
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