Symmetric extended Ockham algebras

Thomas Scott Blyth; J Fang

Symmetric extended Ockham algebras

Thomas Scott Blyth, J Fang

Applied Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The variety eO of extended Ockham algebras consists of those algebras (L; boolean AND, boolean OR, f, k, 0, 1) of type (2, 2, 1, 1, 0, 0), where (L; boolean AND, boolean OR, f, 0, 1) is an Ockham algebra with an additional endomorphism k such that the unary operations f and k commute. Here, we consider the eO-algebras which have a property of symmetry. We show that there are thirty two non-isomorphic subdirectly irreducible symmetric extended MS-algebras and give a complete description of them.

Original language	English
Pages (from-to)	479-489
Number of pages	11
Journal	Algebra Colloquium
Volume	10
Publication status	Published - Dec 2003

Keywords

extended Ockham algebra
de Morgan algebra
MS-algebra
subdirectly irreducible algebra

Cite this

@article{741bf914fce14b9385a05083b9ae612d,

title = "Symmetric extended Ockham algebras",

abstract = "The variety eO of extended Ockham algebras consists of those algebras (L; boolean AND, boolean OR, f, k, 0, 1) of type (2, 2, 1, 1, 0, 0), where (L; boolean AND, boolean OR, f, 0, 1) is an Ockham algebra with an additional endomorphism k such that the unary operations f and k commute. Here, we consider the eO-algebras which have a property of symmetry. We show that there are thirty two non-isomorphic subdirectly irreducible symmetric extended MS-algebras and give a complete description of them.",

keywords = "extended Ockham algebra, de Morgan algebra, MS-algebra, subdirectly irreducible algebra",

author = "Blyth, {Thomas Scott} and J Fang",

year = "2003",

month = dec,

language = "English",

volume = "10",

pages = "479--489",

journal = "Algebra Colloquium",

issn = "1005-3867",

publisher = "World Scientific Publishing Co. Pte Ltd",

}

TY - JOUR

T1 - Symmetric extended Ockham algebras

AU - Blyth, Thomas Scott

AU - Fang, J

PY - 2003/12

Y1 - 2003/12

N2 - The variety eO of extended Ockham algebras consists of those algebras (L; boolean AND, boolean OR, f, k, 0, 1) of type (2, 2, 1, 1, 0, 0), where (L; boolean AND, boolean OR, f, 0, 1) is an Ockham algebra with an additional endomorphism k such that the unary operations f and k commute. Here, we consider the eO-algebras which have a property of symmetry. We show that there are thirty two non-isomorphic subdirectly irreducible symmetric extended MS-algebras and give a complete description of them.

AB - The variety eO of extended Ockham algebras consists of those algebras (L; boolean AND, boolean OR, f, k, 0, 1) of type (2, 2, 1, 1, 0, 0), where (L; boolean AND, boolean OR, f, 0, 1) is an Ockham algebra with an additional endomorphism k such that the unary operations f and k commute. Here, we consider the eO-algebras which have a property of symmetry. We show that there are thirty two non-isomorphic subdirectly irreducible symmetric extended MS-algebras and give a complete description of them.

KW - extended Ockham algebra

KW - de Morgan algebra

KW - MS-algebra

KW - subdirectly irreducible algebra

M3 - Article

SN - 1005-3867

VL - 10

SP - 479

EP - 489

JO - Algebra Colloquium

JF - Algebra Colloquium

ER -

Symmetric extended Ockham algebras

Abstract

Keywords

Fingerprint

Cite this