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Some algebraic structures on the generalization general products of monoids and semigroups.
- Source :
- Arabian Journal of Mathematics; Dec2020, Vol. 9 Issue 3, p727-737, 11p
- Publication Year :
- 2020
-
Abstract
- For arbitrary monoids A and B, in Cevik et al. (Hacet J Math Stat 2019:1–11, 2019), it has been recently defined an extended version of the general product under the name of a higher version of Zappa products for monoids (or generalized general product) A ⊕ B δ ⋈ ψ B ⊕ A and has been introduced an implicit presentation as well as some theories in terms of finite and infinite cases for this product. The goals of this paper are to present some algebraic structures such as regularity, inverse property, Green's relations over this new generalization, and to investigate some other properties and the product obtained by a left restriction semigroup and a semilattice. [ABSTRACT FROM AUTHOR]
- Subjects :
- GENERALIZATION
MONOIDS
SEMILATTICES
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 21935343
- Volume :
- 9
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Arabian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 146320830
- Full Text :
- https://doi.org/10.1007/s40065-020-00292-z