Contributions to Universal Algebra by B. Csákány, J. Schmidt

By B. Csákány, J. Schmidt

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1, and (2), Fig. 2. For (3) these are conjugate equations for B[a] where a is an atom of the finite Boolean algebra with n + 1 atoms. For (4), these are conjugate equations of the members of Sf Λ given in Fig. 3. Fig. 1 Fig. 2 - 63 - -64 - 03 ß4 Fig. 3 Qn Finally for (5) the equation in JCQ, . . , xm every m> 1. χ fails in Qm + 2 ^ o r Corollary 2. 3). ( J o n s s o n [6]). / / the congruence variety of a variety of algebras satisfies a (2, 2) inequality, then the variety of algebras is already congruence modular.

S t o n e , Subalgebra and automorphism structure in universal algebras; a concrete characterization, Acta Sei. , 33 (1972), 45-48. [10] A . , (4), 6 (1972), 90-95. Eckart Beutler Ideals, normal sets and congruences, D-2 Hamburg 50, Stuhlmannstr. 3, BRD. - 39 - this COLLOQUIA MATHEMATICA S O C I E T A T I S JANOS BOLYAI 17. CONTRIBUTIONS TO U N I V E R S A L ALGEBRA, SZEGED, ( H U N G A R Y ) , 1975. /-GROUP-CONE AND BOOLEAN ALGEBRA. A COMMON ONE-IDENTITY-AXIOM BRUNO BOSBACH In this paper we continue the common theory of Boolean algebra and /-group-cone.

6] W . A . , 2 (1972), [7] G. M a t t h i e s s e n , volume. [8] E . T . S c h m i d t , Universale Algebren mit gegebenen Automorphismengruppen und Unteralgebrenverbänden, Acta Sei. , 24 (1963), 251-254. [9] M . G . S t o n e , Subalgebra and automorphism structure in universal algebras; a concrete characterization, Acta Sei. , 33 (1972), 45-48. [10] A . , (4), 6 (1972), 90-95. Eckart Beutler Ideals, normal sets and congruences, D-2 Hamburg 50, Stuhlmannstr. 3, BRD. - 39 - this COLLOQUIA MATHEMATICA S O C I E T A T I S JANOS BOLYAI 17.

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