scholarly journals Subdirectly irreducible commutative multiplicatively idempotent semirings

2016 ◽  
Vol 76 (3) ◽  
pp. 327-337 ◽  
Author(s):  
Ivan Chajda ◽  
Helmut Länger
Keyword(s):  
Subdirectly Irreducible ◽  
Idempotent Semirings ◽  
Multiplicatively Idempotent

scholarly journals Multiplicatively idempotent semirings

2015 ◽  
Vol 140 (1) ◽  
pp. 35-42 ◽  
Author(s):  
Ivan Chajda ◽  
Helmut Länger ◽  
Filip Švrček
Keyword(s):  
Idempotent Semirings ◽  
Multiplicatively Idempotent

scholarly journals On a variety of commutative multiplicatively idempotent semirings

2016 ◽  
Vol 94 (3) ◽  
pp. 610-617 ◽  
Author(s):  
Ivan Chajda ◽  
Helmut Länger
Keyword(s):  
Idempotent Semirings ◽  
Multiplicatively Idempotent

Multiplicatively Idempotent Semirings

2015 ◽  
Vol 206 (6) ◽  
pp. 634-653 ◽  
Author(s):  
E. M. Vechtomov ◽  
A. A. Petrov
Keyword(s):  
Idempotent Semirings ◽  
Multiplicatively Idempotent

scholarly journals Simple and subdirectly irreducible finitely supported Cb -sets

2018 ◽  
Vol 706 ◽  
pp. 1-21
Author(s):  
M.M. Ebrahimi ◽  
Kh. Keshvardoost ◽  
M. Mahmoudi
Keyword(s):  
Subdirectly Irreducible

SUBDIRECTLY IRREDUCIBLE LEFT SELF DISTRIBUTIVELY GENERATED ALGEBRAS

2001 ◽  
Vol 29 (8) ◽  
pp. 3257-3273 ◽  
Author(s):  
Gary F. Birkenmeier ◽  
Henry E. Heatherly ◽  
John A. Lewallen
Keyword(s):  
Subdirectly Irreducible

scholarly journals Rings whose additive endomorphisms are ring endomorphisms

1990 ◽  
Vol 42 (1) ◽  
pp. 145-152 ◽  
Author(s):  
Gary Birkenmeier ◽  
Henry Heatherly
Keyword(s):  
Subdirectly Irreducible ◽  
Finiteness Conditions ◽  
Chain Conditions ◽  
Open Questions ◽  
Open Case ◽  
Ring Endomorphism ◽  
Substantial Progress ◽  
Additive Endomorphism ◽  
Made In

A ring R is said to be an AE-ring if every additive endomorphism is a ring endomorphism. In this paper further steps are made toward solving Sullivan's Problem of characterising these rings. The classification of AE-rings with. R3 ≠ 0 is completed. Complete characterisations are given for AE-rings which are either: (i) subdirectly irreducible, (ii) algebras over fields, or (iii) additively indecomposable. Substantial progress is made in classifying AE-rings which are mixed – the last open case – by imposing various finiteness conditions (chain conditions on special ideals, height restricting conditions). Several open questions are posed.

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