1990
DOI: 10.1007/bf02573274
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A new approach in the theory of orthodox semigroups

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Cited by 56 publications
(62 citation statements)
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“…Now we reformulate the results of [4] concerning the bi-invarant congruences p(\, A) of orthogroup varieties V in the special case of left regular orthogroup varieties.…”
Section: /O(v A) -{(« V) G A® X A®: the Bi-identity U=v Is Satisfiementioning
confidence: 98%
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“…Now we reformulate the results of [4] concerning the bi-invarant congruences p(\, A) of orthogroup varieties V in the special case of left regular orthogroup varieties.…”
Section: /O(v A) -{(« V) G A® X A®: the Bi-identity U=v Is Satisfiementioning
confidence: 98%
“…It is proved in [4] that the bivarieties of orthodox semigroups are just the classes denned by bi-identities. Moreover, the notion of a bi-invariant congruence is introduced, and a one-to-one correspondence is found between the bivarieties of orthodox semigroups and the bi-invariant congruences on an infinite alphabet.…”
Section: Preliminariesmentioning
confidence: 99%
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“…Let p m and pgja denote the fully invariant congruences on FC, associated with the e-varieties 58 and 3?S8, respectively. These fully invariant congruences are determined by the "biidentities" which hold in the respective e-varieties (for details see Kaciourek and Szendrei [12] …”
Section: A Regular *-Semigroup Is Orthodox If and Only If It Satisfiementioning
confidence: 99%
“…The following important definition is due to Kadourek and Szendrei [12]. Notice that in (3) we have written x n -y m instead of x * = y%, since these conditions are equivalent.…”
Section: Let a Unary Operation * On Y X Y Be Defined By (Xy)* = {Yxmentioning
confidence: 99%