Special Issue "General Algebraic Structures 2020"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 30 December 2020.

Special Issue Editors

Prof. Dr. Hee Sik Kim
Guest Editor
Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea
Interests: BCK-algebras and its generalizations; posets; groupoid theory; semirings; fuzzy algebras; Fibonacci numbers
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Prof. Dr. Wiesław A. Dudek
Guest Editor
Faculty of Pure and Applied Mathematics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland
Interests: quasigroups; BCK-algebras; fuzzy algebras
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

This issue is a continuation of the previous successful Special Issue “General Algebraic Structures”.

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, 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, and 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 room 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, and fuzzy algebraic theory.

Prof. Dr. Hee Sik Kim
Prof. Dr. Wiesław A. Dudek
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1200 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • General algebraic structures
  • Sets with a single binary operations (groupoids)
  • Generalized groups
  • Implicative algebra
  • Generalized BCK/BCI-algebra

Published Papers

This special issue is now open for submission.
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