Lawrence N. EZEAKO (2007) On Primitive Abundant Semigroups and PA-Blocked Rees Matrix Semigroups

getCITED

Home Search Add Content Reports Help

Edit Publication | Edit Contributors | Delete Publication | Edit References | Edit Citations

Add to Bookstack | Show Bookstack | Change Bookstack

On Primitive Abundant Semigroups and PA-Blocked Rees Matrix Semigroups

Post a Comment

CONTRIBUTORS:

Author:

Lawrence N. EZEAKO

JOURNAL:

Leonardo Journal of Sciences, 6(11), 61 - 68.

YEAR:

2007

PUB TYPE:

Journal Article

SUBJECT(S):

Bisimple; Inverse; Semigroups; Primitive Abundant Semigroups; Ree’s Matrix Semigroups; Homomorphism

DISCIPLINE:

Mathematics

HTTP:

http://ljs.academicdirect.org/A11/061_068.pdf

LANGUAGE:

English

PUB ID:

103-439-840 (Last edited on 2008/01/06 03:45:54 US/Mountain)

SPONSOR(S):

ABSTRACT:
In this paper we utilize Warne’s homomorphism theorem for bisimple inverse semigroups with an identity element [13, Theorem 1.1] to prove the theorem: Every primitive abundant semigroup with a zero element is isormorphic to a PA-blocked Ree’s matrix semigroup. Our approach obviates the tedium of the proof of the existence of a homomorphic mapping (see Markie, 1975) in order to prove the same theorem.

STATISTICS

Click on # to view
Citations		0
References		0
Comments		0
Quality		0/0.00
Interest		0/0.00
View(er)s		1/251

Quality
	N/A
High
	7
	6
	5
	4
	3
	2
	1
Low

Interest
	N/A
High
	7
	6
	5
	4
	3
	2
	1
Low

Prev | Next