01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
,
Keywords:
hyperidentity,
variety,
hypervariety,
Boolean algebra,
De Morgan algebra,
bilattice,
Boole–De Morgan algebra,
free algebra,
universal algebra,
Boolean function,
Super–Boolean function,
De Morgan function,
Super–De Morgan function,
quasigroup,
mode,
functional equation,
second order formula,
second order algebra
Main publications:
Algebry, blizkie k kvazigruppam / Yu. M. Movsisyan, S. S. Davidov. - Moskva : URSS, 2018. - 407 s.; 21 sm.; ISBN 978-5-9710-5064-3
Yuri Movsisyan, “On functional equations and distributive second order formulae with specialized quantifiers”, Algebra Discrete Math., 25:2 (2018), 269–285
2017
2.
Yuri Movsisyan, “Dickson's theorem for Bol loops”, Algebra Discrete Math., 24:2 (2017), 297–301
2016
3.
Amir Ehsani, Aleksandar Krapež, Yuri Movsisyan, “Algebras with parastrophically uncancellable quasigroup equations”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 1, 41–63
Yu. M. Movsisyan, V. A. Aslanyan, “A functional representation of free De Morgan algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, no. 3, 14–16
Yu. M. Movsisyan, “Algebras with hyperidentities of the variety of Boolean algebras”, Izv. RAN. Ser. Mat., 60:6 (1996), 127–168; Izv. Math., 60:6 (1996), 1219–1260
Yu. M. Movsisyan, A. G. Barchoudarian, “About hypervariety of $QB$-algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 1996, no. 2, 16–24
1993
11.
Yu. M. Movsisyan, “On a theorem of Schauffler”, Mat. Zametki, 53:2 (1993), 84–93; Math. Notes, 53:2 (1993), 172–179
Yu. M. Movsisyan, “The multiplicative group of a field and hyperidentities”, Izv. Akad. Nauk SSSR Ser. Mat., 53:5 (1989), 1040–1055; Math. USSR-Izv., 35:2 (1990), 377–391
Yu. M. Movsisyan, I. R. Simonyan, “Hyperidentities of left and right distributivities in varieties of semigroups”, Proceedings of the YSU, Physical and Mathematical Sciences, 2000, no. 1, 28–32