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Adjunction identity to hypersemigroups.
- Source :
-
Turkish Journal of Mathematics . 2022, Vol. 46 Issue 7, p2834-2853. 20p. - Publication Year :
- 2022
-
Abstract
- It is shown that some embedding problems on hypersemigroups are actually problems of adjunction. According to the theorem of this paper, for every hypersemigroup S which does not have identity element, an hypersemigroup T having identity element can be constructed in such a way that S is an ideal of T. Moreover, if S is regular, intra-regular, right (left) regular, right (left) quasi-regular or semisimple, then so is T. If A is an ideal, subidempotent bi-ideal or quasi-ideal of S, then it is an ideal, bi-ideal, quasi-ideal of T as well. Illustrative examples are given. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ISOMORPHISM (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 13000098
- Volume :
- 46
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Turkish Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 159946913
- Full Text :
- https://doi.org/10.55730/1300-0098.3304