Publication detail

On a product of universal hyperalgebras

ŠLAPAL, J. CHAISANSUK, N.

Czech title

O součinu univerzálních hyperalgeber

English title

On a product of universal hyperalgebras

Type

journal article in Web of Science

Language

en

Original abstract

We introduce and study a new operation of product of universal hyperalgebras which lies, with respect to set inclusion, between the cartesian product of the hyperalgebras and the cartesian product of their idempotent hulls. We give sufficient conditions for the validity of the first exponential law and a weak form of the second exponential law for the direct power of universal hyperalgebras with respect to the product introduced.

Czech abstract

V práci je studována nová operace součinu univerzálních algeber, která leží, vzhledem k množinové inkluzi, mezi kartézským součinem těchto hyperalgeber a kartézským součinem jejich idempotentních uzávěrů. Jsou nalezeny postačující podmínky pro platnost prvního exponenciálního zákona a slabého tvaru druhého exponenciálního zákona pro přímou mocninu hyperalgeber vzhledem ke kombinovanému součinu. j

English abstract

We introduce and study a new operation of product of universal hyperalgebras which lies, with respect to set inclusion, between the cartesian product of the hyperalgebras and the cartesian product of their idempotent hulls. We give sufficient conditions for the validity of the first exponential law and a weak form of the second exponential law for the direct power of universal hyperalgebras with respect to the product introduced.

Keywords in Czech

Univeržální hyperalgebra, kombinovaný součin, diagonalita, medialita, přímý součin.

Keywords in English

Universal hyperalgebra, combined product, diagonality, mediality, direct power.

RIV year

2015

Released

15.05.2015

Publisher

Faculty of Mathematics and Computer Science, Ovidius University

ISSN

1224-1784

Volume

23

Number

2

Pages from–to

71–81

Pages count

10

BIBTEX


@article{BUT104902,
  author="Josef {Šlapal} and Nitima {Chaisansuk},
  title="On a product of universal hyperalgebras",
  year="2015",
  volume="23",
  number="2",
  month="May",
  pages="71--81",
  publisher="Faculty of Mathematics and Computer Science, Ovidius University",
  issn="1224-1784"
}