Semigroups satisfying variable identities. II-Reference-Cited by-同舟云学术

Semigroups satisfying variable identities. II

Published:1972 Issue:0 Volume:168 Page:113-119
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Putcha Mohan S.,Weissglass Julian

Abstract

The concept of a semigroup satisfying an identity x y = f ( x , y ) xy = f(x,y) is generalized by considering identities in n n -variables and letting the identity depend on the variables. The property of satisfying a “variable identity” is studied. Semigroups satisfying certain types of identities are characterized in terms of unions and semilattices of groups.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-168-00/S0002-9947-1972-0297902-3/S0002-9947-1972-0297902-3.pdf

Reference5 articles.

1. Mathematical Surveys, No. 7;Clifford, A. H.,1961

2. Semigroups satisfying variable identities;Putcha, Mohan S.;Semigroup Forum,1971

3. A semilattice decomposition into semigroups having at most one idempotent;Putcha, Mohan S.;Pacific J. Math.,1971

4. Semigroups satisfying identity 𝑥𝑦=𝑓(𝑥,𝑦);Tamura, Takayuki;Pacific J. Math.,1969

5. E. J. Tully, Semigroups satisfying an identity of the form 𝑥𝑦=𝑦^{𝑚}𝑥ⁿ (to appear).

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