Pure Skew Lattices in Rings

Karin Cvetko-Vah

doi:10.1007/s00233-003-0013-0

Pure Skew Lattices in Rings

Karin Cvetko-Vah

Mathematics

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

3 Citations (Scopus)

Abstract

Given a ring R, let S ⊆ R be a pure multiplicative band that is closed under the cubic join operation x∇ay = x + y + yx - xyx - yxy. We show that (S,·,∇) forms a pure skew lattice if and only if S satisfies the polynomial identity (xy - yx)² z = z (xy - yx) ². We also examine properties of pure skew lattices in rings.

Original language	English
Pages (from-to)	268-279
Number of pages	12
Journal	Semigroup Forum
Volume	68
Issue number	2
DOIs	https://doi.org/10.1007/s00233-003-0013-0
Publication status	Published - 1 Mar 2004

Access to Document

10.1007/s00233-003-0013-0

Handle.net

Persistent link

Cite this

@article{338ca52c1cbe464393f7d9d5cc0d65e8,

title = "Pure Skew Lattices in Rings",

abstract = "Given a ring R, let S ⊆ R be a pure multiplicative band that is closed under the cubic join operation x∇ay = x + y + yx - xyx - yxy. We show that (S,·,∇) forms a pure skew lattice if and only if S satisfies the polynomial identity (xy - yx)2 z = z (xy - yx) 2. We also examine properties of pure skew lattices in rings.",

author = "Karin Cvetko-Vah",

year = "2004",

month = mar,

day = "1",

doi = "10.1007/s00233-003-0013-0",

language = "English",

volume = "68",

pages = "268--279",

journal = "Semigroup Forum",

issn = "0037-1912",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Pure Skew Lattices in Rings

AU - Cvetko-Vah, Karin

PY - 2004/3/1

Y1 - 2004/3/1

N2 - Given a ring R, let S ⊆ R be a pure multiplicative band that is closed under the cubic join operation x∇ay = x + y + yx - xyx - yxy. We show that (S,·,∇) forms a pure skew lattice if and only if S satisfies the polynomial identity (xy - yx)2 z = z (xy - yx) 2. We also examine properties of pure skew lattices in rings.

AB - Given a ring R, let S ⊆ R be a pure multiplicative band that is closed under the cubic join operation x∇ay = x + y + yx - xyx - yxy. We show that (S,·,∇) forms a pure skew lattice if and only if S satisfies the polynomial identity (xy - yx)2 z = z (xy - yx) 2. We also examine properties of pure skew lattices in rings.

UR - http://www.scopus.com/inward/record.url?scp=1642586094&partnerID=8YFLogxK

U2 - 10.1007/s00233-003-0013-0

DO - 10.1007/s00233-003-0013-0

M3 - Article

AN - SCOPUS:1642586094

SN - 0037-1912

VL - 68

SP - 268

EP - 279

JO - Semigroup Forum

JF - Semigroup Forum

IS - 2

ER -

Pure Skew Lattices in Rings

Abstract

Access to Document

Handle.net

Other files and links

Fingerprint

Cite this